Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952di |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-151734727581696 = -1 · 213 · 33 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -3 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131859,18438994] |
[a1,a2,a3,a4,a6] |
Generators |
[-399:2744:1] [113:2232:1] |
Generators of the group modulo torsion |
j |
-19486825371/11662 |
j-invariant |
L |
9.4242592241273 |
L(r)(E,1)/r! |
Ω |
0.57135154161836 |
Real period |
R |
0.51545866114056 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994k1 119952ct2 17136o1 |
Quadratic twists by: -4 -3 -7 |