Atkin-Lehner |
3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70395a |
Isogeny class |
Conductor |
70395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
53170865401534725 = 3 · 52 · 133 · 199 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -4 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-241106853,-1441095371268] |
[a1,a2,a3,a4,a6] |
Generators |
[4148633473545026040455161859422694895198520461621327232394548058673382716438:-1781476045685147614056123570064221306715783560637996666499064372677370556788121:22387777399238366217651929402679440271151849148337145647175101393473064] |
Generators of the group modulo torsion |
j |
4803634662532183171/164775 |
j-invariant |
L |
4.6040179296079 |
L(r)(E,1)/r! |
Ω |
0.038313088765376 |
Real period |
R |
120.1682787259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70395m2 |
Quadratic twists by: -19 |