Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37600j |
Isogeny class |
Conductor |
37600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
418560 |
Modular degree for the optimal curve |
Δ |
-24398405000000000 = -1 · 29 · 510 · 474 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 5 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18125,7456250] |
[a1,a2,a3,a4,a6] |
j |
131700600/4879681 |
j-invariant |
L |
5.1485089264083 |
L(r)(E,1)/r! |
Ω |
0.28602827368728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37600c1 75200o1 37600g1 |
Quadratic twists by: -4 8 5 |