Atkin-Lehner |
2- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27950k |
Isogeny class |
Conductor |
27950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3486238219140625000 = 23 · 511 · 136 · 432 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3284130,2289813497] |
[a1,a2,a3,a4,a6] |
Generators |
[25739:4106505:1] |
Generators of the group modulo torsion |
j |
250705915969015550889/223119246025000 |
j-invariant |
L |
6.6203808021213 |
L(r)(E,1)/r! |
Ω |
0.24867565574099 |
Real period |
R |
2.2185460757421 |
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 |
5590a2 |
Quadratic twists by: 5 |