Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
119520i |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
45198729000000 = 26 · 38 · 56 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-186753,-31061752] |
[a1,a2,a3,a4,a6] |
Generators |
[356402272996:3523146057297:653972032] |
Generators of the group modulo torsion |
j |
15438993023952064/968765625 |
j-invariant |
L |
7.76342499503 |
L(r)(E,1)/r! |
Ω |
0.22965943552489 |
Real period |
R |
16.902037957457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002538 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119520g1 39840i1 |
Quadratic twists by: -4 -3 |