Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450b |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-294272000000 = -1 · 213 · 56 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 11+ -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1649,-3902] |
[a1,a2,a3,a4,a6] |
j |
31764658463/18833408 |
j-invariant |
L |
2.2758549606029 |
L(r)(E,1)/r! |
Ω |
0.56896374015073 |
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 |
83600bu1 94050dn1 418b1 114950ce1 |
Quadratic twists by: -4 -3 5 -11 |