Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860b |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
368928000 = 28 · 33 · 53 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34632,2480644] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:1830:1] |
Generators of the group modulo torsion |
j |
664588314943488/53375 |
j-invariant |
L |
8.0571379436001 |
L(r)(E,1)/r! |
Ω |
1.2947369650627 |
Real period |
R |
3.1114960648131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76860a2 |
Quadratic twists by: -3 |