Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12870bm |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-2.1005695076545E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,668587,65772717] |
[a1,a2,a3,a4,a6] |
Generators |
[383:19248:1] |
Generators of the group modulo torsion |
j |
45338857965533777399/28814396538470400 |
j-invariant |
L |
6.9688677227515 |
L(r)(E,1)/r! |
Ω |
0.13401904360251 |
Real period |
R |
0.92855510032436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960dq1 4290i1 64350bg1 |
Quadratic twists by: -4 -3 5 |