Atkin-Lehner |
2- 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34980p |
Isogeny class |
Conductor |
34980 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-456138762750000 = -1 · 24 · 310 · 56 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,175,-1027500] |
[a1,a2,a3,a4,a6] |
Generators |
[400:7950:1] |
Generators of the group modulo torsion |
j |
36832722944/28508672671875 |
j-invariant |
L |
7.4517461731134 |
L(r)(E,1)/r! |
Ω |
0.24219222822297 |
Real period |
R |
1.0255966548815 |
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 |
104940t1 |
Quadratic twists by: -3 |