Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950gf |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-716900625000 = -1 · 23 · 34 · 57 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,412,40781] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-233:1] [-21:163:1] |
Generators of the group modulo torsion |
j |
10100279/936360 |
j-invariant |
L |
14.882859466766 |
L(r)(E,1)/r! |
Ω |
0.69157119781663 |
Real period |
R |
0.44834078286931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990y1 124950hd1 |
Quadratic twists by: 5 -7 |