Atkin-Lehner |
2+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
75118a |
Isogeny class |
Conductor |
75118 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
220800 |
Modular degree for the optimal curve |
Δ |
-177922558558432 = -1 · 25 · 238 · 71 |
Discriminant |
Eigenvalues |
2+ 0 0 2 -1 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64637,6373797] |
[a1,a2,a3,a4,a6] |
j |
-381371625/2272 |
j-invariant |
L |
0.57332485989536 |
L(r)(E,1)/r! |
Ω |
0.57332487694467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75118b1 |
Quadratic twists by: -23 |