Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240b |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
613440 = 26 · 33 · 5 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-357,2596] |
[a1,a2,a3,a4,a6] |
Generators |
[65:504:1] |
Generators of the group modulo torsion |
j |
2911954752/355 |
j-invariant |
L |
8.9701862400491 |
L(r)(E,1)/r! |
Ω |
2.7828875107097 |
Real period |
R |
3.2233376973498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240y1 102240x1 |
Quadratic twists by: -4 -3 |