Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432w |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-326356107264 = -1 · 216 · 39 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11+ -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1701,5130] |
[a1,a2,a3,a4,a6] |
Generators |
[-188:665:64] |
Generators of the group modulo torsion |
j |
6751269/4048 |
j-invariant |
L |
7.6741746136866 |
L(r)(E,1)/r! |
Ω |
0.5902724400826 |
Real period |
R |
6.5005361021193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4554v1 36432bc1 |
Quadratic twists by: -4 -3 |