Atkin-Lehner |
2+ 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334u |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-187380261684 = -1 · 22 · 37 · 7 · 115 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ -6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1491686460,22175414109684] |
[a1,a2,a3,a4,a6] |
Generators |
[22299:-11118:1] [22392:12906:1] |
Generators of the group modulo torsion |
j |
-503534030533176545949822874561/257037396 |
j-invariant |
L |
5.7690665383052 |
L(r)(E,1)/r! |
Ω |
0.1895540678134 |
Real period |
R |
3.8043674061278 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778x2 |
Quadratic twists by: -3 |