Atkin-Lehner |
2+ 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6510b |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-13332480 = -1 · 212 · 3 · 5 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,47,-107] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] [11:38:1] |
Generators of the group modulo torsion |
j |
11104492391/13332480 |
j-invariant |
L |
3.2555669849444 |
L(r)(E,1)/r! |
Ω |
1.2011429387968 |
Real period |
R |
5.4207819565684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52080bt1 19530cd1 32550cn1 45570bj1 |
Quadratic twists by: -4 -3 5 -7 |