Atkin-Lehner |
2- 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264bq |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-50823168 = -1 · 215 · 3 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11- -4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129,705] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:4:1] [1:24:1] |
Generators of the group modulo torsion |
j |
-7301384/1551 |
j-invariant |
L |
9.741666620671 |
L(r)(E,1)/r! |
Ω |
1.9152744319416 |
Real period |
R |
1.2715758193526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264bx1 49632k1 |
Quadratic twists by: -4 8 |