Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3650i |
Isogeny class |
Conductor |
3650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
11406250000 = 24 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -6 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23730,1412897] |
[a1,a2,a3,a4,a6] |
j |
94575738893481/730000 |
j-invariant |
L |
2.2871509843017 |
L(r)(E,1)/r! |
Ω |
1.1435754921509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29200i1 116800c1 32850m1 730f1 |
Quadratic twists by: -4 8 -3 5 |