Atkin-Lehner |
2+ 3+ 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
36210a |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
696806360468100 = 22 · 314 · 52 · 172 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-103668,12741372] |
[a1,a2,a3,a4,a6] |
Generators |
[206:322:1] |
Generators of the group modulo torsion |
j |
123215237368037392969/696806360468100 |
j-invariant |
L |
3.7755634095898 |
L(r)(E,1)/r! |
Ω |
0.51165416737682 |
Real period |
R |
3.6895657754021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108630v2 |
Quadratic twists by: -3 |