Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
49440h |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-98880000 = -1 · 29 · 3 · 54 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -1 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1560,23208] |
[a1,a2,a3,a4,a6] |
Generators |
[26:30:1] |
Generators of the group modulo torsion |
j |
-820551625928/193125 |
j-invariant |
L |
9.0916481670442 |
L(r)(E,1)/r! |
Ω |
1.845142447411 |
Real period |
R |
0.6159177696412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49440m1 98880d1 |
Quadratic twists by: -4 8 |