Atkin-Lehner |
2+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
74176g |
Isogeny class |
Conductor |
74176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-5370029080576 = -1 · 216 · 192 · 613 |
Discriminant |
Eigenvalues |
2+ 2 1 3 -3 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2015,105249] |
[a1,a2,a3,a4,a6] |
Generators |
[-735:4636:27] |
Generators of the group modulo torsion |
j |
13799183324/81940141 |
j-invariant |
L |
10.523799664373 |
L(r)(E,1)/r! |
Ω |
0.55220979316054 |
Real period |
R |
1.588134285393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74176l1 9272a1 |
Quadratic twists by: -4 8 |