Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304cp |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
37847040 |
Modular degree for the optimal curve |
Δ |
-6.0937360038523E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -5 13- -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-235251809,1393815826815] |
[a1,a2,a3,a4,a6] |
Generators |
[9277:99372:1] |
Generators of the group modulo torsion |
j |
-3811170500576969572/16129443546333 |
j-invariant |
L |
5.1185079911244 |
L(r)(E,1)/r! |
Ω |
0.075910994412963 |
Real period |
R |
0.51081632887188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304es1 15288a1 122304x1 |
Quadratic twists by: -4 8 -7 |