Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800ei |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-940854035200000000 = -1 · 214 · 58 · 435 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -4 6 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-495333,142231037] |
[a1,a2,a3,a4,a6] |
j |
-2100082723840/147008443 |
j-invariant |
L |
4.1150343199312 |
L(r)(E,1)/r! |
Ω |
0.27433562143364 |
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 |
68800by1 17200f1 68800db1 |
Quadratic twists by: -4 8 5 |