Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624z |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-108194144256 = -1 · 213 · 39 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 11- 1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82107,-9055638] |
[a1,a2,a3,a4,a6] |
Generators |
[2379874122:1469786418:7189057] |
Generators of the group modulo torsion |
j |
-759299343867/1342 |
j-invariant |
L |
8.5090240366347 |
L(r)(E,1)/r! |
Ω |
0.1410179726981 |
Real period |
R |
15.084999210593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12078n1 96624s1 |
Quadratic twists by: -4 -3 |