Atkin-Lehner |
2+ 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
62928i |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-51231635568 = -1 · 24 · 36 · 192 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 -7 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,429,-10339] |
[a1,a2,a3,a4,a6] |
Generators |
[20:79:1] |
Generators of the group modulo torsion |
j |
748596992/4392287 |
j-invariant |
L |
4.089712627411 |
L(r)(E,1)/r! |
Ω |
0.56319472225349 |
Real period |
R |
3.6308158314137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31464j1 6992h1 |
Quadratic twists by: -4 -3 |