Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950q |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
70001572076562500 = 22 · 58 · 119 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1583650,-767628000] |
[a1,a2,a3,a4,a6] |
j |
15868125221689/2528900 |
j-invariant |
L |
0.53832953881606 |
L(r)(E,1)/r! |
Ω |
0.13458258659332 |
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 |
22990v1 10450bb1 |
Quadratic twists by: 5 -11 |