Atkin-Lehner |
3+ 5- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
27255c |
Isogeny class |
Conductor |
27255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-523214235 = -1 · 36 · 5 · 23 · 792 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 -2 2 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,25,1091] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-40:1] |
Generators of the group modulo torsion |
j |
1659797504/523214235 |
j-invariant |
L |
3.6359635621147 |
L(r)(E,1)/r! |
Ω |
1.2781241168159 |
Real period |
R |
0.71119140822814 |
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 |
81765f1 |
Quadratic twists by: -3 |