Atkin-Lehner |
5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
31025c |
Isogeny class |
Conductor |
31025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14016 |
Modular degree for the optimal curve |
Δ |
96953125 = 57 · 17 · 73 |
Discriminant |
Eigenvalues |
-2 1 5+ -4 -4 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-158,-656] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] |
Generators of the group modulo torsion |
j |
28094464/6205 |
j-invariant |
L |
2.0887993570759 |
L(r)(E,1)/r! |
Ω |
1.3670798059479 |
Real period |
R |
0.76396394270025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6205a1 |
Quadratic twists by: 5 |