Atkin-Lehner |
5- 7+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123025m |
Isogeny class |
Conductor |
123025 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
535680 |
Modular degree for the optimal curve |
Δ |
1258109395703125 = 58 · 73 · 193 · 372 |
Discriminant |
Eigenvalues |
1 1 5- 7+ -3 1 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28701,-770577] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:1011:1] |
Generators of the group modulo torsion |
j |
6693187811305/3220760053 |
j-invariant |
L |
8.0907702421171 |
L(r)(E,1)/r! |
Ω |
0.38479744876006 |
Real period |
R |
1.1681138441524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000190929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123025l1 |
Quadratic twists by: 5 |