Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568u |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1482254504360448 = -1 · 29 · 3 · 7 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28336,-255672] |
[a1,a2,a3,a4,a6] |
j |
1018108216/599781 |
j-invariant |
L |
1.121718208953 |
L(r)(E,1)/r! |
Ω |
0.28042962946379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568co2 8736n4 |
Quadratic twists by: -4 13 |