Atkin-Lehner |
3+ 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
74235f |
Isogeny class |
Conductor |
74235 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
2296613025842625 = 37 · 53 · 77 · 1012 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1951842,-1050390081] |
[a1,a2,a3,a4,a6] |
Generators |
[3852925978:-6557293510029:1331] |
Generators of the group modulo torsion |
j |
6989881233552616729/19520888625 |
j-invariant |
L |
6.3821986893175 |
L(r)(E,1)/r! |
Ω |
0.12772868285627 |
Real period |
R |
16.655613409361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605e1 |
Quadratic twists by: -7 |