Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200cs |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
550 |
Product of Tamagawa factors cp |
deg |
32736000 |
Modular degree for the optimal curve |
Δ |
-7.1361088619382E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43974208,421631375588] |
[a1,a2,a3,a4,a6] |
Generators |
[4544:-561834:1] |
Generators of the group modulo torsion |
j |
-23510280441297426820/178402721548453857 |
j-invariant |
L |
10.11585905004 |
L(r)(E,1)/r! |
Ω |
0.052814564196633 |
Real period |
R |
0.34824619540192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999765035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54600bw1 109200f1 |
Quadratic twists by: -4 5 |