Atkin-Lehner |
2+ 3+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
3318b |
Isogeny class |
Conductor |
3318 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
1847660450741747712 = 234 · 34 · 75 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-420877,-82442915] |
[a1,a2,a3,a4,a6] |
j |
8245004631147186217561/1847660450741747712 |
j-invariant |
L |
0.19044403931112 |
L(r)(E,1)/r! |
Ω |
0.19044403931112 |
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 |
26544u1 106176s1 9954e1 82950cq1 |
Quadratic twists by: -4 8 -3 5 |