Atkin-Lehner |
2- 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650cd |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
816 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
-7123543418880000000 = -1 · 217 · 34 · 57 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -6 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-777438,293109531] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:-21913:1] [-975:11687:1] |
Generators of the group modulo torsion |
j |
-3325837412862057241/455906778808320 |
j-invariant |
L |
13.335963152018 |
L(r)(E,1)/r! |
Ω |
0.22828083617945 |
Real period |
R |
0.071592045883451 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330m1 |
Quadratic twists by: 5 |