Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128q |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-6030616209408 = -1 · 211 · 35 · 76 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 5 4 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4296,-45648] |
[a1,a2,a3,a4,a6] |
j |
36382894/25029 |
j-invariant |
L |
4.2788619706009 |
L(r)(E,1)/r! |
Ω |
0.42788611993125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2472a1 |
Quadratic twists by: -7 |