Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350by |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
304560 |
Modular degree for the optimal curve |
Δ |
-55278125000 = -1 · 23 · 58 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 4 4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-742,13916] |
[a1,a2,a3,a4,a6] |
j |
-320625/392 |
j-invariant |
L |
6.066940900786 |
L(r)(E,1)/r! |
Ω |
1.0111568059842 |
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 |
126350cq1 126350dp1 |
Quadratic twists by: 5 -19 |