Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120f |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-1156000000000 = -1 · 211 · 59 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5+ -3 5 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2624,-1440] |
[a1,a2,a3,a4,a6] |
Generators |
[36:372:1] |
Generators of the group modulo torsion |
j |
3374596798/1953125 |
j-invariant |
L |
6.3839616874087 |
L(r)(E,1)/r! |
Ω |
0.51736831174263 |
Real period |
R |
3.0848244579891 |
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 |
11560g1 92480ef1 115600m1 23120n1 |
Quadratic twists by: -4 8 5 17 |