Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775i |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
5443200 |
Modular degree for the optimal curve |
Δ |
1.3256350719119E+24 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 3 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-93504375,343576413281] |
[a1,a2,a3,a4,a6] |
Generators |
[-33198:6499895:8] |
Generators of the group modulo torsion |
j |
470357606027980800/6896562077111 |
j-invariant |
L |
11.685314072473 |
L(r)(E,1)/r! |
Ω |
0.085994650039323 |
Real period |
R |
1.9412028318256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26775f1 26775m1 |
Quadratic twists by: -3 5 |