Atkin-Lehner |
3+ 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351i |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
2115477 = 34 · 72 · 13 · 41 |
Discriminant |
Eigenvalues |
-2 3+ -2 7- -3 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-44,104] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] [2:4:1] |
Generators of the group modulo torsion |
j |
196661248/43173 |
j-invariant |
L |
4.2337913675339 |
L(r)(E,1)/r! |
Ω |
2.4617927185267 |
Real period |
R |
0.85990005079944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78351k1 |
Quadratic twists by: -7 |