Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
3540h |
Isogeny class |
Conductor |
3540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-212400 = -1 · 24 · 32 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15,0] |
[a1,a2,a3,a4,a6] |
Generators |
[3:9:1] |
Generators of the group modulo torsion |
j |
21807104/13275 |
j-invariant |
L |
4.2662741402681 |
L(r)(E,1)/r! |
Ω |
1.8322642380575 |
Real period |
R |
0.77613880713898 |
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 |
14160q1 56640a1 10620g1 17700b1 |
Quadratic twists by: -4 8 -3 5 |