Atkin-Lehner |
3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975o |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
210841714125 = 35 · 53 · 76 · 59 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 1 -1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-93548,11044073] |
[a1,a2,a3,a4,a6] |
Generators |
[10948:8543:64] |
Generators of the group modulo torsion |
j |
724305632602886144/1686733713 |
j-invariant |
L |
8.8406922562596 |
L(r)(E,1)/r! |
Ω |
0.86363822026851 |
Real period |
R |
2.5591422567863 |
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 |
92925bc1 30975bf1 |
Quadratic twists by: -3 5 |