Atkin-Lehner |
2- 3+ 7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37758m |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
315 |
Product of Tamagawa factors cp |
deg |
7711200 |
Modular degree for the optimal curve |
Δ |
-7.8147849496484E+22 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -3 -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7109684,-11295563539] |
[a1,a2,a3,a4,a6] |
Generators |
[5485:436297:1] |
Generators of the group modulo torsion |
j |
39744277207681151529168191/78147849496483564879872 |
j-invariant |
L |
9.9422795293694 |
L(r)(E,1)/r! |
Ω |
0.056674626522662 |
Real period |
R |
0.55691222145255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113274w1 |
Quadratic twists by: -3 |