Atkin-Lehner |
3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
45423k |
Isogeny class |
Conductor |
45423 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-190891971194967 = -1 · 38 · 710 · 103 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1314,664159] |
[a1,a2,a3,a4,a6] |
j |
2924207/2225727 |
j-invariant |
L |
3.5385798878151 |
L(r)(E,1)/r! |
Ω |
0.44232248600229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15141g1 6489d1 |
Quadratic twists by: -3 -7 |