Atkin-Lehner |
2- 3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950bz |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
3628233000000 = 26 · 38 · 56 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5688,-139719] |
[a1,a2,a3,a4,a6] |
j |
1302528459961/232206912 |
j-invariant |
L |
3.3388134339951 |
L(r)(E,1)/r! |
Ω |
0.55646890114763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3318d1 |
Quadratic twists by: 5 |