Atkin-Lehner |
2- 3+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
20394o |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-3583062648 = -1 · 23 · 33 · 115 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ -2 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65,-2871] |
[a1,a2,a3,a4,a6] |
Generators |
[17:18:1] |
Generators of the group modulo torsion |
j |
-1108717875/132706024 |
j-invariant |
L |
8.5387610730302 |
L(r)(E,1)/r! |
Ω |
0.62276354147005 |
Real period |
R |
2.2851800896143 |
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 |
20394d1 |
Quadratic twists by: -3 |