Atkin-Lehner |
2- 5+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
122210l |
Isogeny class |
Conductor |
122210 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
137376 |
Modular degree for the optimal curve |
Δ |
-97768000000 = -1 · 29 · 56 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1948,36831] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:257:1] |
Generators of the group modulo torsion |
j |
-6752991030489/808000000 |
j-invariant |
L |
10.002405287322 |
L(r)(E,1)/r! |
Ω |
1.0354678565975 |
Real period |
R |
0.53665517404377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122210d1 |
Quadratic twists by: -11 |