Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952r |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
5397620769967104 = 210 · 317 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 4 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3030699,-2030774326] |
[a1,a2,a3,a4,a6] |
Generators |
[2107:30618:1] |
Generators of the group modulo torsion |
j |
1717641340122148/3011499 |
j-invariant |
L |
5.3078720240255 |
L(r)(E,1)/r! |
Ω |
0.11442314986501 |
Real period |
R |
1.9328373321497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999372919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59976be1 39984b1 119952bd1 |
Quadratic twists by: -4 -3 -7 |