Atkin-Lehner |
3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575h |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
16186078125 = 36 · 56 · 72 · 29 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 2 7 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-758,-4957] |
[a1,a2,a3,a4,a6] |
j |
62992384/21141 |
j-invariant |
L |
7.4751109866651 |
L(r)(E,1)/r! |
Ω |
0.93438888557316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4263d1 106575bs1 |
Quadratic twists by: 5 -7 |