Atkin-Lehner |
2+ 7- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
112784d |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-2217671792 = -1 · 24 · 72 · 19 · 533 |
Discriminant |
Eigenvalues |
2+ 1 2 7- -3 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-712,7423] |
[a1,a2,a3,a4,a6] |
j |
-2498351450368/138604487 |
j-invariant |
L |
2.8850300995073 |
L(r)(E,1)/r! |
Ω |
1.4425153433474 |
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 |
56392f1 |
Quadratic twists by: -4 |