Atkin-Lehner |
5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82075d |
Isogeny class |
Conductor |
82075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-123163796875 = -1 · 56 · 76 · 67 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7- -4 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15108,709944] |
[a1,a2,a3,a4,a6] |
Generators |
[72:24:1] [23:612:1] |
Generators of the group modulo torsion |
j |
-207474688/67 |
j-invariant |
L |
3.7158211042976 |
L(r)(E,1)/r! |
Ω |
1.0243162744731 |
Real period |
R |
0.90690277912286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3283e1 1675c1 |
Quadratic twists by: 5 -7 |