Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960cj |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
388631250000 = 24 · 33 · 58 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1881,8694] |
[a1,a2,a3,a4,a6] |
Generators |
[66:420:1] |
Generators of the group modulo torsion |
j |
46025761275904/24289453125 |
j-invariant |
L |
6.7552268106362 |
L(r)(E,1)/r! |
Ω |
0.83357040424491 |
Real period |
R |
2.7013222384172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740f1 |
Quadratic twists by: -4 |