Atkin-Lehner |
3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
399b |
Isogeny class |
Conductor |
399 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1842183 = 36 · 7 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -2 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48,90] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:14:1] |
Generators of the group modulo torsion |
j |
12246522625/1842183 |
j-invariant |
L |
1.1285450387598 |
L(r)(E,1)/r! |
Ω |
2.5299798485191 |
Real period |
R |
0.44606878565471 |
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 |
6384bb2 25536bm2 1197e2 9975k2 |
Quadratic twists by: -4 8 -3 5 |