Atkin-Lehner |
2+ 3+ 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478m |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12533760 |
Modular degree for the optimal curve |
Δ |
-6.1651102893233E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8172146,-7861474508] |
[a1,a2,a3,a4,a6] |
Generators |
[12115713:805645592:4913] |
Generators of the group modulo torsion |
j |
513031155467130765863/524025728167968768 |
j-invariant |
L |
4.3766873623798 |
L(r)(E,1)/r! |
Ω |
0.0601554929244 |
Real period |
R |
12.126039447061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000186048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354n1 |
Quadratic twists by: -7 |