Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646z |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2193408 |
Modular degree for the optimal curve |
Δ |
2926870225931492928 = 26 · 36 · 179 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-369396,-26219376] |
[a1,a2,a3,a4,a6] |
Generators |
[241920:2617236:343] |
Generators of the group modulo torsion |
j |
64481201/33856 |
j-invariant |
L |
7.1079591096721 |
L(r)(E,1)/r! |
Ω |
0.20531138887479 |
Real period |
R |
8.6550959553824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13294g1 119646q1 |
Quadratic twists by: -3 17 |