Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088l |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-185925321712 = -1 · 24 · 13 · 197 |
Discriminant |
Eigenvalues |
2+ 2 0 2 4 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3008,-65809] |
[a1,a2,a3,a4,a6] |
Generators |
[974689357925:10881202081581:6549699311] |
Generators of the group modulo torsion |
j |
-4000000/247 |
j-invariant |
L |
11.125141162309 |
L(r)(E,1)/r! |
Ω |
0.32117257034796 |
Real period |
R |
17.319569274325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37544g1 3952a1 |
Quadratic twists by: -4 -19 |