Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200x |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-6.4847759419264E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 -5 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2161867,-64390637] |
[a1,a2,a3,a4,a6] |
j |
4364861448544256/2533115602315 |
j-invariant |
L |
1.3441127403499 |
L(r)(E,1)/r! |
Ω |
0.096008053673524 |
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 |
75200ck1 4700e1 15040k1 |
Quadratic twists by: -4 8 5 |