Atkin-Lehner |
3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2115h |
Isogeny class |
Conductor |
2115 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-12848625 = -1 · 37 · 53 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 2 -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,58,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[6:19:1] |
Generators of the group modulo torsion |
j |
30080231/17625 |
j-invariant |
L |
1.9626099602402 |
L(r)(E,1)/r! |
Ω |
1.3210364751734 |
Real period |
R |
0.24760986254911 |
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 |
33840cv1 705d1 10575k1 103635u1 |
Quadratic twists by: -4 -3 5 -7 |