Atkin-Lehner |
2- 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550by |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-3980689920000000 = -1 · 215 · 39 · 57 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6520,3027147] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:735:1] [149:2625:1] |
Generators of the group modulo torsion |
j |
2691419471/349470720 |
j-invariant |
L |
11.527226132029 |
L(r)(E,1)/r! |
Ω |
0.33845009780709 |
Real period |
R |
0.1419119367808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11850f1 7110n1 |
Quadratic twists by: -3 5 |