Atkin-Lehner |
2+ 7- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674g |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-55342964742910208 = -1 · 28 · 78 · 135 · 101 |
Discriminant |
Eigenvalues |
2+ 3 0 7- 2 13+ -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,92258,3408404] |
[a1,a2,a3,a4,a6] |
Generators |
[1788420:459388334:27] |
Generators of the group modulo torsion |
j |
738150521484375/470407438592 |
j-invariant |
L |
10.483012622273 |
L(r)(E,1)/r! |
Ω |
0.21997045931655 |
Real period |
R |
11.91411386104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000218279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18382c1 |
Quadratic twists by: -7 |