Atkin-Lehner |
3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2115f |
Isogeny class |
Conductor |
2115 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-41629545 = -1 · 311 · 5 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 1 2 -7 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-324,-2187] |
[a1,a2,a3,a4,a6] |
Generators |
[84:705:1] |
Generators of the group modulo torsion |
j |
-5168743489/57105 |
j-invariant |
L |
3.875100030521 |
L(r)(E,1)/r! |
Ω |
0.56219191592537 |
Real period |
R |
3.4464209825417 |
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 |
33840cs1 705e1 10575l1 103635r1 |
Quadratic twists by: -4 -3 5 -7 |