Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950cf |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-1518142500 = -1 · 22 · 36 · 54 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,150,1800] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:30:1] [-4:36:1] |
Generators of the group modulo torsion |
j |
12061175/49572 |
j-invariant |
L |
7.318097351185 |
L(r)(E,1)/r! |
Ω |
1.0767151664502 |
Real period |
R |
1.6991720671795 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000014515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950hn1 124950dk1 |
Quadratic twists by: 5 -7 |