Atkin-Lehner |
2- 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482cq |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2620800 |
Modular degree for the optimal curve |
Δ |
-1.2641107126862E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -1 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,384110,144482708] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:7760:1] |
Generators of the group modulo torsion |
j |
22187587484111/44751202704 |
j-invariant |
L |
15.145508211322 |
L(r)(E,1)/r! |
Ω |
0.15534602333752 |
Real period |
R |
4.8747653379523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118482bx1 |
Quadratic twists by: -7 |