Atkin-Lehner |
2+ 3- 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154bc |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
15360000 |
Modular degree for the optimal curve |
Δ |
-1.1228487180328E+22 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14054220,-20907055152] |
[a1,a2,a3,a4,a6] |
Generators |
[4298394360:-522731619708:274625] |
Generators of the group modulo torsion |
j |
-421130255542777411888321/15402588724729479168 |
j-invariant |
L |
6.6068347603786 |
L(r)(E,1)/r! |
Ω |
0.038903274168887 |
Real period |
R |
8.4913608586258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999536496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718w1 |
Quadratic twists by: -3 |