Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ef |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
19398729349988352 = 226 · 33 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177249,27870975] |
[a1,a2,a3,a4,a6] |
j |
19968681097/628992 |
j-invariant |
L |
2.3022461050111 |
L(r)(E,1)/r! |
Ω |
0.38370768724267 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304gg1 3822d1 17472a1 |
Quadratic twists by: -4 8 -7 |