Atkin-Lehner |
3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
102675m |
Isogeny class |
Conductor |
102675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
-59273090784916875 = -1 · 33 · 54 · 378 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 4 5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-45633,-12284557] |
[a1,a2,a3,a4,a6] |
j |
-6553600/36963 |
j-invariant |
L |
1.7587544680426 |
L(r)(E,1)/r! |
Ω |
0.14656282961026 |
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 |
102675r1 2775e1 |
Quadratic twists by: 5 37 |