Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450b |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2152006095750000 = -1 · 24 · 3 · 56 · 76 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,26675,-1461875] |
[a1,a2,a3,a4,a6] |
Generators |
[1494:57355:1] |
Generators of the group modulo torsion |
j |
134335727363375/137728390128 |
j-invariant |
L |
3.355318464293 |
L(r)(E,1)/r! |
Ω |
0.25152034245158 |
Real period |
R |
6.6700737435161 |
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 |
91350ee3 1218k3 |
Quadratic twists by: -3 5 |