Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840cp |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-965681369579520 = -1 · 224 · 32 · 5 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9384,-1450476] |
[a1,a2,a3,a4,a6] |
Generators |
[12228:173553:64] |
Generators of the group modulo torsion |
j |
22309070726951/235762053120 |
j-invariant |
L |
7.649872639815 |
L(r)(E,1)/r! |
Ω |
0.24408022635733 |
Real period |
R |
7.8354080105707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230c1 |
Quadratic twists by: -4 |