Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23660h |
Isogeny class |
Conductor |
23660 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-59150000 = -1 · 24 · 55 · 7 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -4 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35,350] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-25:1] |
Generators of the group modulo torsion |
j |
1703936/21875 |
j-invariant |
L |
3.6702765129982 |
L(r)(E,1)/r! |
Ω |
1.4618154992972 |
Real period |
R |
0.16738439357373 |
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 |
94640cs1 118300s1 23660f1 |
Quadratic twists by: -4 5 13 |