Atkin-Lehner |
2+ 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29512c |
Isogeny class |
Conductor |
29512 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
18595584 |
Modular degree for the optimal curve |
Δ |
-6.2498597398501E+27 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2131352424,38062920855344] |
[a1,a2,a3,a4,a6] |
Generators |
[334135:191392052:1] |
Generators of the group modulo torsion |
j |
-522828871127294403371947610834/3051689326098696323048953 |
j-invariant |
L |
7.7019851763749 |
L(r)(E,1)/r! |
Ω |
0.042618153670911 |
Real period |
R |
10.040042294141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59024f1 |
Quadratic twists by: -4 |