Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550ez |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-116136466031250000 = -1 · 24 · 315 · 59 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7956230,-8635944603] |
[a1,a2,a3,a4,a6] |
Generators |
[710553553879:39194036645205:141420761] |
Generators of the group modulo torsion |
j |
-4889878795573542289/10195794000 |
j-invariant |
L |
13.006602885647 |
L(r)(E,1)/r! |
Ω |
0.044946168606289 |
Real period |
R |
18.086362098486 |
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 |
38850m1 23310r1 |
Quadratic twists by: -3 5 |