Atkin-Lehner |
2+ 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35150b |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-1300550000000 = -1 · 27 · 58 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 -6 7 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2349,33198] |
[a1,a2,a3,a4,a6] |
j |
91794884831/83235200 |
j-invariant |
L |
2.2437591116599 |
L(r)(E,1)/r! |
Ω |
0.56093977791524 |
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 |
7030e1 |
Quadratic twists by: 5 |