Atkin-Lehner |
2+ 3+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350w |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-379358113500 = -1 · 22 · 37 · 53 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1735,-41375] |
[a1,a2,a3,a4,a6] |
j |
-4624909012781/3034864908 |
j-invariant |
L |
1.4370661229086 |
L(r)(E,1)/r! |
Ω |
0.35926654418758 |
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 |
88350db1 |
Quadratic twists by: 5 |