Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800q |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-151295379200 = -1 · 28 · 52 · 73 · 413 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 2 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,785,-16690] |
[a1,a2,a3,a4,a6] |
Generators |
[543:2296:27] |
Generators of the group modulo torsion |
j |
8358968880/23639903 |
j-invariant |
L |
14.126283155223 |
L(r)(E,1)/r! |
Ω |
0.52781202962734 |
Real period |
R |
1.4868806777471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57400q1 114800w1 |
Quadratic twists by: -4 5 |