Atkin-Lehner |
2+ 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61642j |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-303109001216 = -1 · 212 · 76 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 5 6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2116,46416] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:300:1] |
Generators of the group modulo torsion |
j |
-8908363017/2576384 |
j-invariant |
L |
3.8848742626872 |
L(r)(E,1)/r! |
Ω |
0.91970037977882 |
Real period |
R |
2.112032542289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1258d1 |
Quadratic twists by: -7 |