Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400ek |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-426465000000 = -1 · 26 · 38 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1492,21762] |
[a1,a2,a3,a4,a6] |
j |
367061696/426465 |
j-invariant |
L |
2.5157142788082 |
L(r)(E,1)/r! |
Ω |
0.62892857031129 |
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 |
62400gu1 31200cg2 12480dh1 |
Quadratic twists by: -4 8 5 |