Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3760l |
Isogeny class |
Conductor |
3760 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
60160000000 = 214 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 1 -1 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1560,-21100] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:50:1] |
Generators of the group modulo torsion |
j |
102568953241/14687500 |
j-invariant |
L |
4.2700405371596 |
L(r)(E,1)/r! |
Ω |
0.76686684678631 |
Real period |
R |
0.39772601565652 |
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 |
470c1 15040w1 33840bx1 18800bc1 |
Quadratic twists by: -4 8 -3 5 |