Atkin-Lehner |
2+ 3+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94962a |
Isogeny class |
Conductor |
94962 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
978432 |
Modular degree for the optimal curve |
Δ |
111726558041790636 = 22 · 37 · 78 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 0 -5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-126788,-6634956] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:3342:1] |
Generators of the group modulo torsion |
j |
39100219699849/19380817836 |
j-invariant |
L |
2.8534839316825 |
L(r)(E,1)/r! |
Ω |
0.26623784914343 |
Real period |
R |
2.6794499131625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94962w1 |
Quadratic twists by: -7 |