Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810y |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
13139914563300 = 22 · 3 · 52 · 72 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9032,276876] |
[a1,a2,a3,a4,a6] |
Generators |
[174:12548:27] |
Generators of the group modulo torsion |
j |
1732323601/279300 |
j-invariant |
L |
5.0093876220558 |
L(r)(E,1)/r! |
Ω |
0.67745506652063 |
Real period |
R |
0.92430256117887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990bc1 |
Quadratic twists by: -19 |