Atkin-Lehner |
3- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
23715j |
Isogeny class |
Conductor |
23715 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-31151238440625 = -1 · 39 · 55 · 17 · 313 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -5 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2822,-273954] |
[a1,a2,a3,a4,a6] |
Generators |
[958:7887:8] [84:234:1] |
Generators of the group modulo torsion |
j |
-3408183162649/42731465625 |
j-invariant |
L |
5.0397031270824 |
L(r)(E,1)/r! |
Ω |
0.2813352932434 |
Real period |
R |
0.29855853188444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7905b1 118575n1 |
Quadratic twists by: -3 5 |