Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828t |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3974400 |
Modular degree for the optimal curve |
Δ |
-1.1549048502186E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 11- -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14645012,21577119576] |
[a1,a2,a3,a4,a6] |
j |
-32754774352/1089 |
j-invariant |
L |
0.84600412966498 |
L(r)(E,1)/r! |
Ω |
0.21150103013381 |
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 |
69828h1 |
Quadratic twists by: -23 |