Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360h |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-200498220000000 = -1 · 28 · 33 · 57 · 135 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1668,-680756] |
[a1,a2,a3,a4,a6] |
Generators |
[113:975:1] |
Generators of the group modulo torsion |
j |
74251994112/29007265625 |
j-invariant |
L |
5.0373421757469 |
L(r)(E,1)/r! |
Ω |
0.2646309840453 |
Real period |
R |
0.27193350522319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4680d1 37440cz1 9360d1 46800d1 |
Quadratic twists by: -4 8 -3 5 |