Atkin-Lehner |
2+ 3- 5+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870g |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-11234564325000 = -1 · 23 · 39 · 55 · 172 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1935,-164075] |
[a1,a2,a3,a4,a6] |
Generators |
[71:194:1] |
Generators of the group modulo torsion |
j |
-1099424306161/15410925000 |
j-invariant |
L |
3.3559485267417 |
L(r)(E,1)/r! |
Ω |
0.30712357232903 |
Real period |
R |
1.3658787655943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290v1 |
Quadratic twists by: -3 |