Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892be |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-93696793344 = -1 · 28 · 32 · 72 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17061,-863577] |
[a1,a2,a3,a4,a6] |
Generators |
[209:2178:1] |
Generators of the group modulo torsion |
j |
-43785122676736/7469451 |
j-invariant |
L |
8.8435913196534 |
L(r)(E,1)/r! |
Ω |
0.20886317338793 |
Real period |
R |
3.5284628562791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999180498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122892a1 |
Quadratic twists by: -7 |