Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730x |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
9348917760000 = 212 · 32 · 54 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20850,1140735] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:1523:1] |
Generators of the group modulo torsion |
j |
1002404925316922401/9348917760000 |
j-invariant |
L |
4.2863873932156 |
L(r)(E,1)/r! |
Ω |
0.73237537256027 |
Real period |
R |
0.48772659870569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
21840cg2 87360ck2 8190n2 13650z2 |
Quadratic twists by: -4 8 -3 5 |