Atkin-Lehner |
2+ 3- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650y |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
115118825080320000 = 212 · 34 · 54 · 176 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 -7 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3096526,-2097492352] |
[a1,a2,a3,a4,a6] |
Generators |
[-1019:701:1] [9733:938429:1] |
Generators of the group modulo torsion |
j |
5253729228029721157225/184190120128512 |
j-invariant |
L |
8.3592183855053 |
L(r)(E,1)/r! |
Ω |
0.11381036137276 |
Real period |
R |
4.5905411668358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650bl2 |
Quadratic twists by: 5 |