Atkin-Lehner |
3- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
11895g |
Isogeny class |
Conductor |
11895 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-739614411315 = -1 · 315 · 5 · 132 · 61 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 0 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-207041,-36329530] |
[a1,a2,a3,a4,a6] |
Generators |
[730:14215:1] |
Generators of the group modulo torsion |
j |
-981510341015120379904/739614411315 |
j-invariant |
L |
5.0922214049445 |
L(r)(E,1)/r! |
Ω |
0.11190649034015 |
Real period |
R |
1.5168084798496 |
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 |
35685k1 59475f1 |
Quadratic twists by: -3 5 |