Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bd |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
8.0241865382833E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1604570,653305353] |
[a1,a2,a3,a4,a6] |
Generators |
[-1077:34173:1] |
Generators of the group modulo torsion |
j |
706157817625/124023312 |
j-invariant |
L |
12.899241859462 |
L(r)(E,1)/r! |
Ω |
0.18362351169065 |
Real period |
R |
1.4635065096113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362d1 3906u1 |
Quadratic twists by: -3 -31 |