Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432cm |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-276539711926896 = -1 · 24 · 317 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14457,1042967] |
[a1,a2,a3,a4,a6] |
Generators |
[1366:50301:1] |
Generators of the group modulo torsion |
j |
-28649084226304/23708823039 |
j-invariant |
L |
6.2861797877798 |
L(r)(E,1)/r! |
Ω |
0.50369515787722 |
Real period |
R |
1.0400106243943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9108g1 12144m1 |
Quadratic twists by: -4 -3 |