Atkin-Lehner |
2+ 3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950o |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-235163250000000 = -1 · 27 · 35 · 59 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38250,2956500] |
[a1,a2,a3,a4,a6] |
Generators |
[95:-485:1] |
Generators of the group modulo torsion |
j |
-396109944105121/15050448000 |
j-invariant |
L |
4.1649675066709 |
L(r)(E,1)/r! |
Ω |
0.55326582457886 |
Real period |
R |
0.94099601878049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590ba1 |
Quadratic twists by: 5 |