Atkin-Lehner |
2+ 3- 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258u |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
-8095626 = -1 · 2 · 34 · 7 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[8:12:1] |
Generators of the group modulo torsion |
j |
-338608873/8095626 |
j-invariant |
L |
3.5821929607701 |
L(r)(E,1)/r! |
Ω |
1.0097679493639 |
Real period |
R |
0.44344259527978 |
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 |
81774cd1 |
Quadratic twists by: -3 |