Atkin-Lehner |
2- 7- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
126896l |
Isogeny class |
Conductor |
126896 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2019840 |
Modular degree for the optimal curve |
Δ |
-6616122880284667904 = -1 · 212 · 712 · 11 · 1032 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,123291,-122668403] |
[a1,a2,a3,a4,a6] |
j |
50600448584142848/1615264375069499 |
j-invariant |
L |
2.7447437152777 |
L(r)(E,1)/r! |
Ω |
0.1143643521669 |
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 |
7931a1 |
Quadratic twists by: -4 |