Atkin-Lehner |
2- 3+ 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258v |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-22106456064 = -1 · 214 · 33 · 7 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-237,-7389] |
[a1,a2,a3,a4,a6] |
Generators |
[45:252:1] |
Generators of the group modulo torsion |
j |
-1472594839633/22106456064 |
j-invariant |
L |
8.0934103378821 |
L(r)(E,1)/r! |
Ω |
0.51703325610184 |
Real period |
R |
2.2362226475671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774n1 |
Quadratic twists by: -3 |