Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
47400d |
Isogeny class |
Conductor |
47400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62336 |
Modular degree for the optimal curve |
Δ |
-60672000 = -1 · 211 · 3 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26088,1630572] |
[a1,a2,a3,a4,a6] |
Generators |
[746:45:8] |
Generators of the group modulo torsion |
j |
-7670483700154/237 |
j-invariant |
L |
6.3931667740641 |
L(r)(E,1)/r! |
Ω |
1.4468702319314 |
Real period |
R |
2.2093089735937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94800y1 47400bc1 |
Quadratic twists by: -4 5 |