Atkin-Lehner |
2- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74176o |
Isogeny class |
Conductor |
74176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-13710098432 = -1 · 215 · 193 · 61 |
Discriminant |
Eigenvalues |
2- -1 0 -2 -1 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-993,13633] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:152:1] |
Generators of the group modulo torsion |
j |
-3307949000/418399 |
j-invariant |
L |
2.6189609092262 |
L(r)(E,1)/r! |
Ω |
1.2179940880666 |
Real period |
R |
0.1791853873237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74176k1 37088a1 |
Quadratic twists by: -4 8 |