Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400bi |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-6240000000000 = -1 · 214 · 3 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2033,125937] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:400:1] [1:352:1] |
Generators of the group modulo torsion |
j |
-3631696/24375 |
j-invariant |
L |
7.5328851034048 |
L(r)(E,1)/r! |
Ω |
0.64897213893208 |
Real period |
R |
2.9018522720479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400hm1 7800g1 12480x1 |
Quadratic twists by: -4 8 5 |