Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93632x |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-13571356158976 = -1 · 210 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11+ 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35189,2535211] |
[a1,a2,a3,a4,a6] |
Generators |
[91:308:1] |
Generators of the group modulo torsion |
j |
-4706053639241728/13253277499 |
j-invariant |
L |
3.9558229708332 |
L(r)(E,1)/r! |
Ω |
0.70900535515448 |
Real period |
R |
0.6974247357811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93632h1 23408j1 |
Quadratic twists by: -4 8 |