Atkin-Lehner |
3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975s |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
121765278017578125 = 3 · 510 · 73 · 594 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-182526,24864823] |
[a1,a2,a3,a4,a6] |
Generators |
[-7179:203114:27] |
Generators of the group modulo torsion |
j |
43040219271568849/7792977793125 |
j-invariant |
L |
6.978154849796 |
L(r)(E,1)/r! |
Ω |
0.3149862731225 |
Real period |
R |
5.5384594863615 |
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 |
92925i4 6195b3 |
Quadratic twists by: -3 5 |