Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8850o |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-97984434375000 = -1 · 23 · 312 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 3 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4174,-464452] |
[a1,a2,a3,a4,a6] |
Generators |
[402:7936:1] |
Generators of the group modulo torsion |
j |
20595416135/250840152 |
j-invariant |
L |
3.4859937107259 |
L(r)(E,1)/r! |
Ω |
0.29436988078859 |
Real period |
R |
2.9605556972975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70800cc1 26550co1 8850u1 |
Quadratic twists by: -4 -3 5 |