Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950gd |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-157947545700 = -1 · 22 · 38 · 52 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-743,-20959] |
[a1,a2,a3,a4,a6] |
j |
-37033145065/128936772 |
j-invariant |
L |
5.0384910235243 |
L(r)(E,1)/r! |
Ω |
0.41987430056093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950dt1 124950hb1 |
Quadratic twists by: 5 -7 |