Atkin-Lehner |
2+ 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270h |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-5.1764633567372E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -3 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,748371,240087653] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:-11336:1] [-278:3379:1] |
Generators of the group modulo torsion |
j |
2354956789949763453/2629915844504000 |
j-invariant |
L |
6.3182315849636 |
L(r)(E,1)/r! |
Ω |
0.13291480958677 |
Real period |
R |
0.44014767419154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36270bf1 |
Quadratic twists by: -3 |