Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224cr |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
2090880 |
Modular degree for the optimal curve |
Δ |
-1.5596776505974E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2310952,1335676692] |
[a1,a2,a3,a4,a6] |
Generators |
[406:-48384:1] |
Generators of the group modulo torsion |
j |
333224059751580926375/380780676415383552 |
j-invariant |
L |
8.4804260949141 |
L(r)(E,1)/r! |
Ω |
0.10025635564883 |
Real period |
R |
0.64081376008973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778e1 |
Quadratic twists by: -4 |