Atkin-Lehner |
2- 3+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74778ba |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
24315033976312068 = 22 · 35 · 119 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-807012,-279276447] |
[a1,a2,a3,a4,a6] |
Generators |
[-520907328001264018869:38189365463379803721:992611272832072291] |
Generators of the group modulo torsion |
j |
32810104420811353/13725202788 |
j-invariant |
L |
9.5408363772941 |
L(r)(E,1)/r! |
Ω |
0.15929071333433 |
Real period |
R |
29.947873852956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6798b1 |
Quadratic twists by: -11 |