Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600bb |
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] |
j |
675000/961 |
j-invariant |
L |
1.4750570578266 |
L(r)(E,1)/r! |
Ω |
0.36876426428081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600p1 24800f1 49600bi1 |
Quadratic twists by: -4 8 5 |