Atkin-Lehner |
2- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12950o |
Isogeny class |
Conductor |
12950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-374335937500 = -1 · 22 · 510 · 7 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1662,13792] |
[a1,a2,a3,a4,a6] |
j |
32492296871/23957500 |
j-invariant |
L |
1.2155183147364 |
L(r)(E,1)/r! |
Ω |
0.60775915736821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103600bk1 116550cf1 2590a1 90650cs1 |
Quadratic twists by: -4 -3 5 -7 |