Atkin-Lehner |
3- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27195q |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
331344 |
Modular degree for the optimal curve |
Δ |
445377879638671875 = 3 · 513 · 74 · 373 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -3 -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-341213,-69701719] |
[a1,a2,a3,a4,a6] |
Generators |
[-325:2787:1] |
Generators of the group modulo torsion |
j |
1829811825149572201/185496826171875 |
j-invariant |
L |
7.7467351671436 |
L(r)(E,1)/r! |
Ω |
0.19882587936214 |
Real period |
R |
0.99903611990658 |
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 |
81585i1 27195b1 |
Quadratic twists by: -3 -7 |