Atkin-Lehner |
2+ 3- 5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270t |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
348160 |
Modular degree for the optimal curve |
Δ |
-48261145559040 = -1 · 220 · 38 · 5 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8766,107028] |
[a1,a2,a3,a4,a6] |
j |
102181603702751/66201845760 |
j-invariant |
L |
1.5880461647831 |
L(r)(E,1)/r! |
Ω |
0.39701170294303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42090r1 |
Quadratic twists by: -3 |