Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930bi |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36061182293808000 = 27 · 3 · 53 · 78 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-614656369,5865336047876] |
[a1,a2,a3,a4,a6] |
j |
218289391029690300712901881/306514992000 |
j-invariant |
L |
0.66014478491494 |
L(r)(E,1)/r! |
Ω |
0.16503619622866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790fr4 3990g3 |
Quadratic twists by: -3 -7 |