Atkin-Lehner |
2+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
20402c |
Isogeny class |
Conductor |
20402 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
412080 |
Modular degree for the optimal curve |
Δ |
-21657134112561602 = -1 · 2 · 1018 |
Discriminant |
Eigenvalues |
2+ -3 2 4 -5 0 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,64394,-3267986] |
[a1,a2,a3,a4,a6] |
j |
2727/2 |
j-invariant |
L |
0.85756734464706 |
L(r)(E,1)/r! |
Ω |
0.21439183616176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20402g1 |
Quadratic twists by: 101 |