Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400es |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-478239079219200 = -1 · 214 · 312 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6513,-1069263] |
[a1,a2,a3,a4,a6] |
Generators |
[1131:37908:1] |
Generators of the group modulo torsion |
j |
-74605986640/1167575877 |
j-invariant |
L |
3.7596531580365 |
L(r)(E,1)/r! |
Ω |
0.2252559130218 |
Real period |
R |
1.3908821554915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400ct1 15600ca1 62400hr1 |
Quadratic twists by: -4 8 5 |