Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390bn |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
1408 |
Product of Tamagawa factors cp |
Δ |
-1813237963862169600 = -1 · 211 · 37 · 52 · 78 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -4 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,175612,-58310233] |
[a1,a2,a3,a4,a6] |
Generators |
[1533:-62507:1] |
Generators of the group modulo torsion |
j |
821601208240129799/2487294874982400 |
j-invariant |
L |
7.4848470518409 |
L(r)(E,1)/r! |
Ω |
0.13533625923702 |
Real period |
R |
0.15711805656162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130s2 |
Quadratic twists by: -3 |