Atkin-Lehner |
2- 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970bs |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7349760 |
Modular degree for the optimal curve |
Δ |
4232727377458113600 = 26 · 310 · 52 · 119 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31092465,-66744375345] |
[a1,a2,a3,a4,a6] |
j |
1409791893399845171/1795089600 |
j-invariant |
L |
0.76721492472674 |
L(r)(E,1)/r! |
Ω |
0.063934577453891 |
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 |
68970i1 |
Quadratic twists by: -11 |