Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892bd |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
462 |
Product of Tamagawa factors cp |
deg |
2424576 |
Modular degree for the optimal curve |
Δ |
5759307730782676224 = 28 · 311 · 73 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1366045,-604044673] |
[a1,a2,a3,a4,a6] |
Generators |
[-619:2178:1] |
Generators of the group modulo torsion |
j |
3210590843606966272/65589783741603 |
j-invariant |
L |
9.0475984764367 |
L(r)(E,1)/r! |
Ω |
0.13982107436245 |
Real period |
R |
0.14006147913186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122892s1 |
Quadratic twists by: -7 |