Atkin-Lehner |
2+ 3- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30090d |
Isogeny class |
Conductor |
30090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
163661390625000000 = 26 · 3 · 512 · 17 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-176549,20875472] |
[a1,a2,a3,a4,a6] |
Generators |
[807853901008:8997372679287:1869959168] |
Generators of the group modulo torsion |
j |
608577598338950313289/163661390625000000 |
j-invariant |
L |
4.7167057238339 |
L(r)(E,1)/r! |
Ω |
0.30152325252962 |
Real period |
R |
15.642925327527 |
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 |
90270bb3 |
Quadratic twists by: -3 |