Atkin-Lehner |
2- 7+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
124432h |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-1368752 = -1 · 24 · 7 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 1 2 7+ 11- 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,242] |
[a1,a2,a3,a4,a6] |
Generators |
[2:10:1] |
Generators of the group modulo torsion |
j |
-3196715008/85547 |
j-invariant |
L |
10.116941811144 |
L(r)(E,1)/r! |
Ω |
2.6984749958156 |
Real period |
R |
1.874566520037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31108d1 |
Quadratic twists by: -4 |