Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6510o |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
28798156800 = 216 · 34 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-881,5519] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:80:1] |
Generators of the group modulo torsion |
j |
75627935783569/28798156800 |
j-invariant |
L |
4.5867305299856 |
L(r)(E,1)/r! |
Ω |
1.0764786259561 |
Real period |
R |
0.26630408743091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52080bs1 19530ba1 32550bd1 45570dg1 |
Quadratic twists by: -4 -3 5 -7 |