Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950n |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
9.80754064528E+22 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12243900,6695842000] |
[a1,a2,a3,a4,a6] |
j |
110426885440588081/53352140800000 |
j-invariant |
L |
0.37931868909647 |
L(r)(E,1)/r! |
Ω |
0.094829673261533 |
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 |
15190x1 10850g1 |
Quadratic twists by: 5 -7 |