Atkin-Lehner |
2- 3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528u |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-7717233223139328 = -1 · 217 · 312 · 73 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2909184,-1908910080] |
[a1,a2,a3,a4,a6] |
j |
-664779294907165541377/1884090142368 |
j-invariant |
L |
0.69359817683411 |
L(r)(E,1)/r! |
Ω |
0.057799845178782 |
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 |
13566q1 |
Quadratic twists by: -4 |