Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
115600cm |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1751562321920000000 = -1 · 228 · 57 · 174 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 -2 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-484075,-144427750] |
[a1,a2,a3,a4,a6] |
Generators |
[797235315:37417765850:328509] |
Generators of the group modulo torsion |
j |
-2346853689/327680 |
j-invariant |
L |
13.176539618417 |
L(r)(E,1)/r! |
Ω |
0.089802344648085 |
Real period |
R |
12.227353014157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14450be1 23120z1 115600cd1 |
Quadratic twists by: -4 5 17 |