Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992ey |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
2714531133888 = 26 · 38 · 7 · 314 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3639,29248] |
[a1,a2,a3,a4,a6] |
j |
114225318208/58181823 |
j-invariant |
L |
2.8537455732004 |
L(r)(E,1)/r! |
Ω |
0.71343639325826 |
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 |
124992fw1 62496n3 41664ds1 |
Quadratic twists by: -4 8 -3 |