Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225bw |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3544552969453125 = -1 · 36 · 57 · 76 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30980,3558772] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:1670:1] [334:-5680:1] |
Generators of the group modulo torsion |
j |
-288673724529/311181605 |
j-invariant |
L |
5.6992587769668 |
L(r)(E,1)/r! |
Ω |
0.40367864977146 |
Real period |
R |
0.29413137881007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4025b2 7245m2 |
Quadratic twists by: -3 5 |