Atkin-Lehner |
3+ 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4611a |
Isogeny class |
Conductor |
4611 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
124497 = 34 · 29 · 53 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29,-70] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] |
Generators of the group modulo torsion |
j |
2703045457/124497 |
j-invariant |
L |
1.1887468772588 |
L(r)(E,1)/r! |
Ω |
2.0628082463198 |
Real period |
R |
1.1525519925369 |
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 |
73776v1 13833a1 115275q1 |
Quadratic twists by: -4 -3 5 |