Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224w |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-5182319287563264 = -1 · 210 · 35 · 77 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29744,-3996732] |
[a1,a2,a3,a4,a6] |
Generators |
[376:-6174:1] |
Generators of the group modulo torsion |
j |
-2842081147249348/5060858679261 |
j-invariant |
L |
10.260184783681 |
L(r)(E,1)/r! |
Ω |
0.1715258894182 |
Real period |
R |
0.85453029176706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112o1 |
Quadratic twists by: -4 |