Atkin-Lehner |
3+ 5+ 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755f |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
71525025 = 34 · 52 · 11 · 132 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11- 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-331,2144] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-30:1] |
Generators of the group modulo torsion |
j |
4011342040369/71525025 |
j-invariant |
L |
2.3283162673571 |
L(r)(E,1)/r! |
Ω |
1.9475785139789 |
Real period |
R |
0.59774644530231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265w1 |
Quadratic twists by: -3 |