Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90354p |
Isogeny class |
Conductor |
90354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1838592 |
Modular degree for the optimal curve |
Δ |
337998872891909988 = 22 · 37 · 11 · 378 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-652357,-201137401] |
[a1,a2,a3,a4,a6] |
Generators |
[-186086176119703850464904639:-419557708217715551098545126:388757732492196095838139] |
Generators of the group modulo torsion |
j |
11966561852617/131736132 |
j-invariant |
L |
12.180303228434 |
L(r)(E,1)/r! |
Ω |
0.16809976271565 |
Real period |
R |
36.229388519467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442b1 |
Quadratic twists by: 37 |