Atkin-Lehner |
2+ 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59024f |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
37191168 |
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 |
[2788687650:1511105501674:9261] |
Generators of the group modulo torsion |
j |
-522828871127294403371947610834/3051689326098696323048953 |
j-invariant |
L |
6.1652108149611 |
L(r)(E,1)/r! |
Ω |
0.011105911427937 |
Real period |
R |
15.420243271556 |
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 |
29512c1 |
Quadratic twists by: -4 |