Atkin-Lehner |
2- 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360bf |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-48006082080000000 = -1 · 211 · 34 · 57 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ -4 -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-724240,-237706912] |
[a1,a2,a3,a4,a6] |
j |
-20513599939701522722/23440469765625 |
j-invariant |
L |
2.2910109213461 |
L(r)(E,1)/r! |
Ω |
0.081821818619532 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60720l1 91080p1 |
Quadratic twists by: -4 -3 |