Atkin-Lehner |
5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
10675b |
Isogeny class |
Conductor |
10675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-166796875 = -1 · 58 · 7 · 61 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 0 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-122283,16499593] |
[a1,a2,a3,a4,a6] |
j |
-12942122082402304/10675 |
j-invariant |
L |
2.2611076830434 |
L(r)(E,1)/r! |
Ω |
1.1305538415217 |
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 |
96075t1 2135c1 74725b1 |
Quadratic twists by: -3 5 -7 |