Atkin-Lehner |
3- 11+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587c |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
-531731871 = -1 · 37 · 11 · 23 · 312 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11+ 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,49,-1114] |
[a1,a2,a3,a4,a6] |
Generators |
[10:12:1] [13:33:1] |
Generators of the group modulo torsion |
j |
18191447/729399 |
j-invariant |
L |
5.8944020706292 |
L(r)(E,1)/r! |
Ω |
0.79061063211958 |
Real period |
R |
7.4555056954387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23529g1 |
Quadratic twists by: -3 |