Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
33880h |
Isogeny class |
Conductor |
33880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
528180282784000000 = 211 · 56 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342067,68607726] |
[a1,a2,a3,a4,a6] |
Generators |
[1266:40800:1] |
Generators of the group modulo torsion |
j |
916628022/109375 |
j-invariant |
L |
6.1167743258712 |
L(r)(E,1)/r! |
Ω |
0.28299030458095 |
Real period |
R |
7.2049280215082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67760j2 33880o2 |
Quadratic twists by: -4 -11 |