Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450ba |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
506529703125000 = 23 · 312 · 59 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2927367,-1927076459] |
[a1,a2,a3,a4,a6] |
Generators |
[32787027:-6964501789:729] |
Generators of the group modulo torsion |
j |
1948488049404701/355752 |
j-invariant |
L |
3.4926117597327 |
L(r)(E,1)/r! |
Ω |
0.11541978455053 |
Real period |
R |
15.130039331357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9150v2 27450ce2 |
Quadratic twists by: -3 5 |