Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200s |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-669222000000000 = -1 · 210 · 39 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10125,1181250] |
[a1,a2,a3,a4,a6] |
Generators |
[121:2044:1] |
Generators of the group modulo torsion |
j |
2916/17 |
j-invariant |
L |
6.4873026247832 |
L(r)(E,1)/r! |
Ω |
0.36915195914703 |
Real period |
R |
4.3933822264053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000225 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30600bt1 61200n1 61200m1 |
Quadratic twists by: -4 -3 5 |