Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32240j |
Isogeny class |
Conductor |
32240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-103110225920 = -1 · 212 · 5 · 132 · 313 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 13- 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-501,-15875] |
[a1,a2,a3,a4,a6] |
Generators |
[36:107:1] |
Generators of the group modulo torsion |
j |
-3402072064/25173395 |
j-invariant |
L |
3.5614548893223 |
L(r)(E,1)/r! |
Ω |
0.44634229780343 |
Real period |
R |
3.9896004779838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2015a1 128960bg1 |
Quadratic twists by: -4 8 |