Atkin-Lehner |
2+ 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630c |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-87736263912000 = -1 · 26 · 39 · 53 · 11 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9735,585341] |
[a1,a2,a3,a4,a6] |
Generators |
[262:3865:1] |
Generators of the group modulo torsion |
j |
-5184004633443/4457464000 |
j-invariant |
L |
3.938752172141 |
L(r)(E,1)/r! |
Ω |
0.55355655696263 |
Real period |
R |
0.5929463639261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36630y1 |
Quadratic twists by: -3 |