Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144cm |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
31804608 = 26 · 3 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 11- -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-496,-4082] |
[a1,a2,a3,a4,a6] |
j |
211282762816/496947 |
j-invariant |
L |
4.04648151484 |
L(r)(E,1)/r! |
Ω |
1.0116203898427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144cv1 39072e2 |
Quadratic twists by: -4 8 |