Atkin-Lehner |
2- 3- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610bh |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
695520 |
Modular degree for the optimal curve |
Δ |
-91893466947669930 = -1 · 2 · 36 · 5 · 173 · 376 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-194162,-35966869] |
[a1,a2,a3,a4,a6] |
j |
-1110418778129340889/126054138474170 |
j-invariant |
L |
2.0339267476231 |
L(r)(E,1)/r! |
Ω |
0.11299593041096 |
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 |
6290b1 |
Quadratic twists by: -3 |