Atkin-Lehner |
2+ 3+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7134a |
Isogeny class |
Conductor |
7134 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-67031064 = -1 · 23 · 35 · 292 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 0 5 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,97,189] |
[a1,a2,a3,a4,a6] |
Generators |
[9:39:1] |
Generators of the group modulo torsion |
j |
99317171591/67031064 |
j-invariant |
L |
2.7797066304364 |
L(r)(E,1)/r! |
Ω |
1.2307672146636 |
Real period |
R |
1.1292576684358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57072p1 21402g1 |
Quadratic twists by: -4 -3 |