Atkin-Lehner |
2+ 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29150c |
Isogeny class |
Conductor |
29150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-316260341581250000 = -1 · 24 · 58 · 112 · 535 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 11+ 3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1659650,-824085500] |
[a1,a2,a3,a4,a6] |
Generators |
[2120:70990:1] |
Generators of the group modulo torsion |
j |
-32355910526720313889/20240661861200 |
j-invariant |
L |
2.3720942242578 |
L(r)(E,1)/r! |
Ω |
0.066504204524689 |
Real period |
R |
4.4585418343309 |
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 |
5830e1 |
Quadratic twists by: 5 |