Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878t |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-165278791062 = -1 · 2 · 36 · 7 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2952,65502] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:341:1] |
Generators of the group modulo torsion |
j |
-3903264618625/226719878 |
j-invariant |
L |
4.2192895093152 |
L(r)(E,1)/r! |
Ω |
1.0063314364173 |
Real period |
R |
4.1927434209316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3542m2 |
Quadratic twists by: -3 |