Atkin-Lehner |
2- 3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494bt |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
81285120 |
Modular degree for the optimal curve |
Δ |
-4.0525315458732E+28 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,755442733,5471375717747] |
[a1,a2,a3,a4,a6] |
Generators |
[-6405:611458:1] |
Generators of the group modulo torsion |
j |
65403475622891536876463659031/55590281836394890420813824 |
j-invariant |
L |
11.401430066377 |
L(r)(E,1)/r! |
Ω |
0.023527387103098 |
Real period |
R |
2.9913733122766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498r1 |
Quadratic twists by: -3 |