Atkin-Lehner |
2+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111910d |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9042218328200 = 23 · 52 · 196 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-384834,91855532] |
[a1,a2,a3,a4,a6] |
Generators |
[350:88:1] |
Generators of the group modulo torsion |
j |
133974081659809/192200 |
j-invariant |
L |
2.8629416746931 |
L(r)(E,1)/r! |
Ω |
0.62119782097487 |
Real period |
R |
2.304371956117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
310a2 |
Quadratic twists by: -19 |