Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200bv |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-452403200000000 = -1 · 219 · 58 · 472 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 -1 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19167,70463] |
[a1,a2,a3,a4,a6] |
Generators |
[58:1175:1] |
Generators of the group modulo torsion |
j |
7604375/4418 |
j-invariant |
L |
4.1175674496833 |
L(r)(E,1)/r! |
Ω |
0.31767076400358 |
Real period |
R |
1.0801454195929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200dk1 2350h1 75200j1 |
Quadratic twists by: -4 8 5 |