Atkin-Lehner |
2- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344ej |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
688144973824 = 216 · 73 · 113 · 23 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 11- -1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2764,39184] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:176:1] [-32:308:1] |
Generators of the group modulo torsion |
j |
35633452068/10500259 |
j-invariant |
L |
5.8172827395507 |
L(r)(E,1)/r! |
Ω |
0.84142677266581 |
Real period |
R |
0.19204426629451 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344n1 28336h1 |
Quadratic twists by: -4 8 |