Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496o |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-4.0029152317964E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -4 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1537896,1210562768] |
[a1,a2,a3,a4,a6] |
Generators |
[5257:372033:1] |
Generators of the group modulo torsion |
j |
-134715366791699968/134056821195171 |
j-invariant |
L |
6.9115617086175 |
L(r)(E,1)/r! |
Ω |
0.15350358605606 |
Real period |
R |
5.6281760953506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496bu1 124992ci1 20832z1 |
Quadratic twists by: -4 8 -3 |