Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450bk |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
493920 |
Modular degree for the optimal curve |
Δ |
32241708450000000 = 27 · 33 · 58 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1158326,479663048] |
[a1,a2,a3,a4,a6] |
Generators |
[606:292:1] |
Generators of the group modulo torsion |
j |
440002913903247865/82538773632 |
j-invariant |
L |
4.7949558003663 |
L(r)(E,1)/r! |
Ω |
0.3587459859801 |
Real period |
R |
4.4552933345174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350ff1 30450cb1 |
Quadratic twists by: -3 5 |