Atkin-Lehner |
3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30975u |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
3906103052578125 = 3 · 57 · 710 · 59 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 1 -5 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1492758,-702483481] |
[a1,a2,a3,a4,a6] |
Generators |
[-704590:60211:1000] |
Generators of the group modulo torsion |
j |
23543563594568052736/249990595365 |
j-invariant |
L |
13.581954217438 |
L(r)(E,1)/r! |
Ω |
0.13658482648864 |
Real period |
R |
4.9719850171525 |
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 |
92925t1 6195d1 |
Quadratic twists by: -3 5 |