Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400i |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-390971529000000 = -1 · 26 · 34 · 56 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15608,1216962] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1800:1] |
Generators of the group modulo torsion |
j |
-420526439488/390971529 |
j-invariant |
L |
5.1580134810176 |
L(r)(E,1)/r! |
Ω |
0.48747452870798 |
Real period |
R |
2.6452733309314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ck1 31200w2 2496o1 |
Quadratic twists by: -4 8 5 |