Atkin-Lehner |
3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925c |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
18859972236328125 = 33 · 510 · 74 · 313 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 3 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-92283,8561468] |
[a1,a2,a3,a4,a6] |
j |
2316761595904/502723125 |
j-invariant |
L |
2.1901015990095 |
L(r)(E,1)/r! |
Ω |
0.36501684766615 |
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 |
22785i1 113925bu1 |
Quadratic twists by: 5 -7 |