Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200cf |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-2828773149900800 = -1 · 222 · 52 · 175 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -2 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24752,-2065772] |
[a1,a2,a3,a4,a6] |
j |
16377103685255/27624737792 |
j-invariant |
L |
4.7633754760355 |
L(r)(E,1)/r! |
Ω |
0.23816882525243 |
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 |
16150t1 129200ct2 |
Quadratic twists by: -4 5 |