Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952ha |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-10275138220032 = -1 · 212 · 311 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9408,383600] |
[a1,a2,a3,a4,a6] |
Generators |
[25:405:1] |
Generators of the group modulo torsion |
j |
-629407744/70227 |
j-invariant |
L |
11.034431573449 |
L(r)(E,1)/r! |
Ω |
0.70371120241313 |
Real period |
R |
1.9600426030922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7497m1 39984bz1 119952dt1 |
Quadratic twists by: -4 -3 -7 |