Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950eo |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2540160 |
Modular degree for the optimal curve |
Δ |
-2790749171601562500 = -1 · 22 · 36 · 510 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,183112,-74425219] |
[a1,a2,a3,a4,a6] |
Generators |
[3322046094:15505945867:11543176] |
Generators of the group modulo torsion |
j |
12061175/49572 |
j-invariant |
L |
8.0960766744211 |
L(r)(E,1)/r! |
Ω |
0.12910129848329 |
Real period |
R |
15.677759955447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950dk1 124950hn1 |
Quadratic twists by: 5 -7 |