Atkin-Lehner |
2+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37400b |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-12716000000 = -1 · 28 · 56 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-5437] |
[a1,a2,a3,a4,a6] |
Generators |
[19:34:1] |
Generators of the group modulo torsion |
j |
-1024/3179 |
j-invariant |
L |
5.4298664894653 |
L(r)(E,1)/r! |
Ω |
0.57296225826589 |
Real period |
R |
1.1846038746729 |
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 |
74800i1 1496e1 |
Quadratic twists by: -4 5 |