Atkin-Lehner |
2- 3- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
113544h |
Isogeny class |
Conductor |
113544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-2018645183232 = -1 · 28 · 36 · 194 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -5 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2265,-54326] |
[a1,a2,a3,a4,a6] |
Generators |
[21:50:1] [123:1444:1] |
Generators of the group modulo torsion |
j |
6885902000/10816643 |
j-invariant |
L |
12.548294689572 |
L(r)(E,1)/r! |
Ω |
0.43729900825635 |
Real period |
R |
3.5868749002294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999973647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12616a1 |
Quadratic twists by: -3 |