Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992gs |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-145273385283264 = -1 · 26 · 321 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109038,-13870586] |
[a1,a2,a3,a4,a6] |
Generators |
[143779821495:1424034776011:335702375] |
Generators of the group modulo torsion |
j |
-3072909999983104/3113712819 |
j-invariant |
L |
5.1270451757787 |
L(r)(E,1)/r! |
Ω |
0.13135563342274 |
Real period |
R |
19.515893769392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992el1 62496s1 41664ei1 |
Quadratic twists by: -4 8 -3 |