Atkin-Lehner |
2- 3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bv |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1217344591555560000 = 26 · 38 · 54 · 136 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-960827,-358358421] |
[a1,a2,a3,a4,a6] |
Generators |
[-523:1206:1] |
Generators of the group modulo torsion |
j |
134564764541863949929/1669882841640000 |
j-invariant |
L |
9.3574316533088 |
L(r)(E,1)/r! |
Ω |
0.1526034049078 |
Real period |
R |
2.5549428978344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12090c2 |
Quadratic twists by: -3 |