Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29925ba |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
6187221572765625 = 311 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47367,1204416] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:2334:1] |
Generators of the group modulo torsion |
j |
1031831907625/543185433 |
j-invariant |
L |
7.0396901267324 |
L(r)(E,1)/r! |
Ω |
0.37238279364339 |
Real period |
R |
1.5753704357677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9975p1 1197d1 |
Quadratic twists by: -3 5 |