Atkin-Lehner |
2- 3+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
72048o |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
1159488 |
Modular degree for the optimal curve |
Δ |
-3975579555678418032 = -1 · 24 · 33 · 1911 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 0 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-847762,-315102197] |
[a1,a2,a3,a4,a6] |
j |
-4211395991655869671168/248473722229901127 |
j-invariant |
L |
3.4496154922622 |
L(r)(E,1)/r! |
Ω |
0.078400352181538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18012e1 |
Quadratic twists by: -4 |