Atkin-Lehner |
2- 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264br |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-4748010239808 = -1 · 26 · 34 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 -5 11- -1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1584,-107082] |
[a1,a2,a3,a4,a6] |
Generators |
[63:198:1] [107:968:1] |
Generators of the group modulo torsion |
j |
-6872004209728/74187659997 |
j-invariant |
L |
6.8837263459496 |
L(r)(E,1)/r! |
Ω |
0.3278304487635 |
Real period |
R |
1.4998446323872 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264by1 49632l1 |
Quadratic twists by: -4 8 |