Atkin-Lehner |
2- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800ca |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
1411250176000000 = 217 · 56 · 75 · 41 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70008,-6873488] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:-224:1] [-167:364:1] |
Generators of the group modulo torsion |
j |
592915705201/22050784 |
j-invariant |
L |
9.6258333573484 |
L(r)(E,1)/r! |
Ω |
0.29417439742452 |
Real period |
R |
1.6360759874571 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350d1 4592h1 |
Quadratic twists by: -4 5 |