Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400ft |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-248433868800000000 = -1 · 226 · 36 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -5 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1320833,-584330463] |
[a1,a2,a3,a4,a6] |
j |
-2488672890625/2426112 |
j-invariant |
L |
2.2531086954663 |
L(r)(E,1)/r! |
Ω |
0.070409646990834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400dq1 15600cm1 62400gh1 |
Quadratic twists by: -4 8 5 |