Atkin-Lehner |
3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
92055x |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-26578172227567335 = -1 · 3 · 5 · 172 · 1910 |
Discriminant |
Eigenvalues |
1 3- 5- 4 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10838,7854803] |
[a1,a2,a3,a4,a6] |
Generators |
[24378:601403:216] |
Generators of the group modulo torsion |
j |
-2992209121/564941535 |
j-invariant |
L |
12.308213450729 |
L(r)(E,1)/r! |
Ω |
0.30681235762557 |
Real period |
R |
5.014552520109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000005441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845d1 |
Quadratic twists by: -19 |