Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694l |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
6154725017404982304 = 25 · 311 · 113 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 11+ 13+ -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2029524,-1107283536] |
[a1,a2,a3,a4,a6] |
Generators |
[-775:1317:1] |
Generators of the group modulo torsion |
j |
851494303283/5668704 |
j-invariant |
L |
1.2066209725735 |
L(r)(E,1)/r! |
Ω |
0.12653923073832 |
Real period |
R |
1.5892581846985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999368116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694cb1 122694by1 |
Quadratic twists by: -11 13 |