Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35770v |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-3299310908320000000 = -1 · 211 · 57 · 710 · 73 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,65169,-87129547] |
[a1,a2,a3,a4,a6] |
Generators |
[1287:45514:1] |
Generators of the group modulo torsion |
j |
260170604658719/28043680000000 |
j-invariant |
L |
11.243021492589 |
L(r)(E,1)/r! |
Ω |
0.11920858483765 |
Real period |
R |
4.2869935263249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110h1 |
Quadratic twists by: -7 |