Atkin-Lehner |
7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
35819d |
Isogeny class |
Conductor |
35819 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40824 |
Modular degree for the optimal curve |
Δ |
-4214069531 = -1 · 78 · 17 · 43 |
Discriminant |
Eigenvalues |
-2 -1 -2 7+ -2 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6974,-221880] |
[a1,a2,a3,a4,a6] |
Generators |
[104:408:1] |
Generators of the group modulo torsion |
j |
-6507999232/731 |
j-invariant |
L |
1.3120912958692 |
L(r)(E,1)/r! |
Ω |
0.26121069653535 |
Real period |
R |
5.02311472414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35819e1 |
Quadratic twists by: -7 |