Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672ea |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-5984318492764012544 = -1 · 231 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -1 3 -5 11- 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,100511,117022721] |
[a1,a2,a3,a4,a6] |
j |
241804367/12886016 |
j-invariant |
L |
0.72751199111631 |
L(r)(E,1)/r! |
Ω |
0.18187795859906 |
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 |
100672bk1 25168v1 9152q1 |
Quadratic twists by: -4 8 -11 |