Atkin-Lehner |
2- 3+ 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26970i |
Isogeny class |
Conductor |
26970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
31360 |
Modular degree for the optimal curve |
Δ |
32912731620 = 22 · 310 · 5 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2741,53399] |
[a1,a2,a3,a4,a6] |
Generators |
[166:533:8] |
Generators of the group modulo torsion |
j |
2277512249293009/32912731620 |
j-invariant |
L |
7.1383923170936 |
L(r)(E,1)/r! |
Ω |
1.1702221181046 |
Real period |
R |
3.0500159784432 |
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 |
80910h1 |
Quadratic twists by: -3 |