Atkin-Lehner |
2- 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650bs |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-51508800 = -1 · 26 · 32 · 52 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,92,101] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] [1:13:1] |
Generators of the group modulo torsion |
j |
3442326935/2060352 |
j-invariant |
L |
12.764417490777 |
L(r)(E,1)/r! |
Ω |
1.2234757150026 |
Real period |
R |
0.43470476958407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650bp1 |
Quadratic twists by: 5 |