Atkin-Lehner |
2- 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160bc |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-9331487539200 = -1 · 227 · 33 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 3 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4533,-88326] |
[a1,a2,a3,a4,a6] |
j |
93144487437/84377600 |
j-invariant |
L |
3.1993723421548 |
L(r)(E,1)/r! |
Ω |
0.39992154101562 |
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 |
9270r1 74160w1 |
Quadratic twists by: -4 -3 |