Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550eb |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
511670434570312500 = 22 · 37 · 514 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137998130,623996171997] |
[a1,a2,a3,a4,a6] |
Generators |
[7973:170721:1] |
Generators of the group modulo torsion |
j |
25515010941881368798801/44920312500 |
j-invariant |
L |
9.5712168995977 |
L(r)(E,1)/r! |
Ω |
0.18974301781327 |
Real period |
R |
6.3053814799126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850c6 23310p6 |
Quadratic twists by: -3 5 |