Atkin-Lehner |
2+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418s |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
60669844312 = 23 · 72 · 115 · 312 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- 11- -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1327,13805] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:155:1] [-13:177:1] |
Generators of the group modulo torsion |
j |
5280215750089/1238160088 |
j-invariant |
L |
4.0820498366538 |
L(r)(E,1)/r! |
Ω |
1.0432533378389 |
Real period |
R |
0.39128078373654 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418d1 |
Quadratic twists by: -7 |