Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126bn |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
-622556747580035268 = -1 · 22 · 39 · 74 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11- 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,77166,37035144] |
[a1,a2,a3,a4,a6] |
Generators |
[282:8868:1] [711:-21591:1] |
Generators of the group modulo torsion |
j |
29032124914751/355679845092 |
j-invariant |
L |
7.3403123842259 |
L(r)(E,1)/r! |
Ω |
0.21340267667007 |
Real period |
R |
0.10237063627574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042cv1 126126ct1 |
Quadratic twists by: -3 -7 |