Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ii |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
315392 |
Modular degree for the optimal curve |
Δ |
103139945545728 = 216 · 3 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14177,-432993] |
[a1,a2,a3,a4,a6] |
Generators |
[3163677:-154077120:1331] |
Generators of the group modulo torsion |
j |
119164/39 |
j-invariant |
L |
9.7542230319972 |
L(r)(E,1)/r! |
Ω |
0.44894971610339 |
Real period |
R |
10.863380273633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304bx1 30576f1 122304fn1 |
Quadratic twists by: -4 8 -7 |