Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11760bc |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-46099200 = -1 · 28 · 3 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,363] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
-50176/75 |
j-invariant |
L |
5.720922762151 |
L(r)(E,1)/r! |
Ω |
1.8136373163154 |
Real period |
R |
1.5771959229902 |
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 |
5880w1 47040dx1 35280y1 58800l1 |
Quadratic twists by: -4 8 -3 5 |