Atkin-Lehner |
3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2115g |
Isogeny class |
Conductor |
2115 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3240 |
Modular degree for the optimal curve |
Δ |
66919921875 = 36 · 59 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 1 -3 3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31959,2207038] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-26:1] |
Generators of the group modulo torsion |
j |
4952031207028849/91796875 |
j-invariant |
L |
3.8649260951773 |
L(r)(E,1)/r! |
Ω |
1.0117563381339 |
Real period |
R |
0.42444629859154 |
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 |
33840ct1 235b1 10575n1 103635s1 |
Quadratic twists by: -4 -3 5 -7 |