Atkin-Lehner |
3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6417i |
Isogeny class |
Conductor |
6417 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
35864613 = 37 · 232 · 31 |
Discriminant |
Eigenvalues |
-1 3- 0 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4460,115746] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:420:1] |
Generators of the group modulo torsion |
j |
13455798261625/49197 |
j-invariant |
L |
2.6549626135744 |
L(r)(E,1)/r! |
Ω |
1.806324826344 |
Real period |
R |
1.4698146063508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102672bn2 2139a2 |
Quadratic twists by: -4 -3 |