Atkin-Lehner |
2+ 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
78166g |
Isogeny class |
Conductor |
78166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
40749561542742272 = 28 · 1110 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 11- 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-615167,185405394] |
[a1,a2,a3,a4,a6] |
j |
14532678861183937/23002065152 |
j-invariant |
L |
0.72475549157863 |
L(r)(E,1)/r! |
Ω |
0.36237772213797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7106c1 |
Quadratic twists by: -11 |