Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ip |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-24479465472 = -1 · 216 · 32 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-737,10527] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:132:1] |
Generators of the group modulo torsion |
j |
-1972156/1089 |
j-invariant |
L |
10.781268811429 |
L(r)(E,1)/r! |
Ω |
1.1111001244674 |
Real period |
R |
1.21290473386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488v1 25872e1 103488gn1 |
Quadratic twists by: -4 8 -7 |