Atkin-Lehner |
3- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
74235n |
Isogeny class |
Conductor |
74235 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
56145044025 = 33 · 52 · 77 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19405,-1042000] |
[a1,a2,a3,a4,a6] |
Generators |
[361:6067:1] |
Generators of the group modulo torsion |
j |
6868751617729/477225 |
j-invariant |
L |
5.0291419981345 |
L(r)(E,1)/r! |
Ω |
0.4045040151753 |
Real period |
R |
4.1442868393838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605a1 |
Quadratic twists by: -7 |