Atkin-Lehner |
3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975bf |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
3294401783203125 = 35 · 59 · 76 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 1 1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2338708,1375831744] |
[a1,a2,a3,a4,a6] |
Generators |
[908:-1313:1] |
Generators of the group modulo torsion |
j |
724305632602886144/1686733713 |
j-invariant |
L |
3.5722521110914 |
L(r)(E,1)/r! |
Ω |
0.38623075369747 |
Real period |
R |
0.15415016700481 |
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 |
92925bm1 30975o1 |
Quadratic twists by: -3 5 |