Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715m |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
156434155567792515 = 36 · 5 · 7 · 1910 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-630915,192104486] |
[a1,a2,a3,a4,a6] |
Generators |
[22626900:-17291789:46656] |
Generators of the group modulo torsion |
j |
809818183161/4561235 |
j-invariant |
L |
8.3224493067533 |
L(r)(E,1)/r! |
Ω |
0.32586716255998 |
Real period |
R |
12.769696199805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999663397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12635c3 5985i3 |
Quadratic twists by: -3 -19 |