Atkin-Lehner |
2+ 5- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
77050i |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2284800 |
Modular degree for the optimal curve |
Δ |
2.3881658486848E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 1 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2182742,-1218210584] |
[a1,a2,a3,a4,a6] |
Generators |
[5643:404773:1] |
Generators of the group modulo torsion |
j |
2944225059413418585/61137045726332 |
j-invariant |
L |
4.5302610276143 |
L(r)(E,1)/r! |
Ω |
0.12436474668009 |
Real period |
R |
1.3009718670675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050m1 |
Quadratic twists by: 5 |