Atkin-Lehner |
2+ 3+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
110664a |
Isogeny class |
Conductor |
110664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92928 |
Modular degree for the optimal curve |
Δ |
-25654349808 = -1 · 24 · 39 · 29 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -5 -5 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,-7641] |
[a1,a2,a3,a4,a6] |
Generators |
[19:53:1] [39:243:1] |
Generators of the group modulo torsion |
j |
2370816/81461 |
j-invariant |
L |
7.946640745316 |
L(r)(E,1)/r! |
Ω |
0.57375185034638 |
Real period |
R |
1.7312886971763 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999967361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110664l1 |
Quadratic twists by: -3 |