Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ih |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-17970920755200 = -1 · 212 · 36 · 52 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2652,-196848] |
[a1,a2,a3,a4,a6] |
Generators |
[48:180:1] |
Generators of the group modulo torsion |
j |
1683828854855/14670139392 |
j-invariant |
L |
14.155338515531 |
L(r)(E,1)/r! |
Ω |
0.34182907083678 |
Real period |
R |
0.19171562705735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950bu1 124950el1 |
Quadratic twists by: 5 -7 |