Atkin-Lehner |
2+ 3+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672b |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
692736 |
Modular degree for the optimal curve |
Δ |
-837743751936 = -1 · 28 · 311 · 72 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 0 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-745785,248144229] |
[a1,a2,a3,a4,a6] |
Generators |
[356:5257:1] |
Generators of the group modulo torsion |
j |
-179194741696998624256/3272436531 |
j-invariant |
L |
5.8031714552846 |
L(r)(E,1)/r! |
Ω |
0.63932792979213 |
Real period |
R |
4.5384935869664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63336q1 |
Quadratic twists by: -4 |