Atkin-Lehner |
7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36113d |
Isogeny class |
Conductor |
36113 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.1863803967507E+27 |
Discriminant |
Eigenvalues |
-1 0 2 7- 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-385949514,-2402146244872] |
[a1,a2,a3,a4,a6] |
Generators |
[117944061599485710050383148097558:-36751035449408274706461726030076951:1169551670610704103736564104] |
Generators of the group modulo torsion |
j |
54041446637752012667730657/10084066985275712875369 |
j-invariant |
L |
4.0327966571717 |
L(r)(E,1)/r! |
Ω |
0.034501156767275 |
Real period |
R |
38.962912503433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5159d2 |
Quadratic twists by: -7 |