Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920cp |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-5.0451341543467E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22103472,41432231664] |
[a1,a2,a3,a4,a6] |
Generators |
[3153:-55545:1] |
Generators of the group modulo torsion |
j |
-10798949077834033410048/456193409500390625 |
j-invariant |
L |
8.8146793489828 |
L(r)(E,1)/r! |
Ω |
0.11167804332048 |
Real period |
R |
0.23490888547951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7245g1 115920ce1 |
Quadratic twists by: -4 -3 |