Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350bo |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-2.42028E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2516630,-1554151003] |
[a1,a2,a3,a4,a6] |
Generators |
[4609:288795:1] |
Generators of the group modulo torsion |
j |
-154751228078685841/2124800000000 |
j-invariant |
L |
10.19151107734 |
L(r)(E,1)/r! |
Ω |
0.059883891788708 |
Real period |
R |
5.3183704608004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150b1 7470i1 |
Quadratic twists by: -3 5 |