Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640da |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-741977600000 = -1 · 212 · 55 · 73 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -4 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5880,180400] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:398:1] [-60:560:1] |
Generators of the group modulo torsion |
j |
-32485001809/1071875 |
j-invariant |
L |
9.6697848709096 |
L(r)(E,1)/r! |
Ω |
0.89573721410567 |
Real period |
R |
0.17992227927118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5915g1 94640bs1 |
Quadratic twists by: -4 13 |