Atkin-Lehner |
3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975bc |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
189048718072265625 = 314 · 59 · 73 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-143826,-1786577] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:2292:1] |
Generators of the group modulo torsion |
j |
168461839773989/96792943653 |
j-invariant |
L |
8.6232698209282 |
L(r)(E,1)/r! |
Ω |
0.26640957225702 |
Real period |
R |
1.5413556380719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92925bk1 30975m1 |
Quadratic twists by: -3 5 |