Atkin-Lehner |
2+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35770i |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1053696 |
Modular degree for the optimal curve |
Δ |
-13197243633280 = -1 · 27 · 5 · 710 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -4 4 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14926013,-22201664323] |
[a1,a2,a3,a4,a6] |
Generators |
[43861263760269863178067713620475864931207670237:-3093067417894645914826308477991771617798560355283:5971510341158957442504212451340407766828361] |
Generators of the group modulo torsion |
j |
-3125841581804401744201/112174720 |
j-invariant |
L |
5.5982297726687 |
L(r)(E,1)/r! |
Ω |
0.038404631412815 |
Real period |
R |
72.884826213964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110b1 |
Quadratic twists by: -7 |