Atkin-Lehner |
2- 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122786i |
Isogeny class |
Conductor |
122786 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
6980880 |
Modular degree for the optimal curve |
Δ |
-3.4941345918736E+20 |
Discriminant |
Eigenvalues |
2- -1 -4 0 -3 4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1082770,788336811] |
[a1,a2,a3,a4,a6] |
Generators |
[1191:60797:1] |
Generators of the group modulo torsion |
j |
280639208639/698482688 |
j-invariant |
L |
4.715005643192 |
L(r)(E,1)/r! |
Ω |
0.11908084025095 |
Real period |
R |
0.38818626579904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997439215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122786c1 |
Quadratic twists by: 29 |