Atkin-Lehner |
2- 3- 5- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
108630v |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-55099621382269680 = -1 · 24 · 313 · 5 · 17 · 714 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25637,-11397171] |
[a1,a2,a3,a4,a6] |
j |
-2556123967348489/75582471031920 |
j-invariant |
L |
5.5319418197462 |
L(r)(E,1)/r! |
Ω |
0.1536650471088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36210a1 |
Quadratic twists by: -3 |