Atkin-Lehner |
2- 3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350co |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46848 |
Modular degree for the optimal curve |
Δ |
-1817977950 = -1 · 2 · 32 · 52 · 194 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-418,3842] |
[a1,a2,a3,a4,a6] |
j |
-323130150985/72719118 |
j-invariant |
L |
5.6768884436223 |
L(r)(E,1)/r! |
Ω |
1.4192221146287 |
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 |
88350r1 |
Quadratic twists by: 5 |