Atkin-Lehner |
3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225bf |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-22312947234375 = -1 · 36 · 56 · 7 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5920,-146078] |
[a1,a2,a3,a4,a6] |
Generators |
[43:410:1] [382:3755:8] |
Generators of the group modulo torsion |
j |
2014698447/1958887 |
j-invariant |
L |
5.3384499542656 |
L(r)(E,1)/r! |
Ω |
0.36964033035089 |
Real period |
R |
7.221141087606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4025a4 1449e4 |
Quadratic twists by: -3 5 |