Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11280m |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-701706240 = -1 · 212 · 36 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,139,-1155] |
[a1,a2,a3,a4,a6] |
Generators |
[44:297:1] |
Generators of the group modulo torsion |
j |
71991296/171315 |
j-invariant |
L |
3.7974045843995 |
L(r)(E,1)/r! |
Ω |
0.83198891815318 |
Real period |
R |
2.2821244980215 |
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 |
705c1 45120dd1 33840ck1 56400cq1 |
Quadratic twists by: -4 8 -3 5 |