Atkin-Lehner |
2+ 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602d |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4596480 |
Modular degree for the optimal curve |
Δ |
-6.3149814423828E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 0 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3499036,-2795810978] |
[a1,a2,a3,a4,a6] |
Generators |
[621852619310775:40224009958462453:123134359375] |
Generators of the group modulo torsion |
j |
-997392270041497/132944060214 |
j-invariant |
L |
5.4295480130673 |
L(r)(E,1)/r! |
Ω |
0.054786033579793 |
Real period |
R |
24.776150317395 |
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 |
1722g1 |
Quadratic twists by: 41 |