Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600p |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
341760 |
Modular degree for the optimal curve |
Δ |
-307520000000000 = -1 · 215 · 510 · 312 |
Discriminant |
Eigenvalues |
2+ -3 5+ 4 3 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12500,-650000] |
[a1,a2,a3,a4,a6] |
Generators |
[264:4588:1] |
Generators of the group modulo torsion |
j |
675000/961 |
j-invariant |
L |
3.9277097693647 |
L(r)(E,1)/r! |
Ω |
0.28928873754619 |
Real period |
R |
3.3942816117467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600bb1 24800m1 49600bf1 |
Quadratic twists by: -4 8 5 |