Atkin-Lehner |
2- 7- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124558ba |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1345344 |
Modular degree for the optimal curve |
Δ |
-182350762571350016 = -1 · 214 · 710 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 1 1 7- -3 4 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,120000,12898304] |
[a1,a2,a3,a4,a6] |
j |
676529632751/645545984 |
j-invariant |
L |
5.8788322108614 |
L(r)(E,1)/r! |
Ω |
0.20995828419752 |
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 |
124558p1 |
Quadratic twists by: -7 |