Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550bx |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-8637207031250000 = -1 · 24 · 515 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-137838,-20209708] |
[a1,a2,a3,a4,a6] |
Generators |
[1006:28814:1] |
Generators of the group modulo torsion |
j |
-378281142378601/11281250000 |
j-invariant |
L |
10.122645461745 |
L(r)(E,1)/r! |
Ω |
0.12367003018161 |
Real period |
R |
5.1157531087253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310a1 46550bt1 |
Quadratic twists by: 5 -7 |