Atkin-Lehner |
2+ 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048c |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15310848 |
Modular degree for the optimal curve |
Δ |
-1.9397388466788E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,61385204,-103139203232] |
[a1,a2,a3,a4,a6] |
Generators |
[1358773289198711100774381029050824810733896691663379010975:-220344215440038052751715183396105587289556439878605832293424:56825375407129236380581945806586857664048173725296875] |
Generators of the group modulo torsion |
j |
99925159494023677429826096/75771048698390224386207 |
j-invariant |
L |
6.3949164498264 |
L(r)(E,1)/r! |
Ω |
0.038318891429904 |
Real period |
R |
83.443390599031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024s1 |
Quadratic twists by: -4 |