Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
51912m |
Isogeny class |
Conductor |
51912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42752 |
Modular degree for the optimal curve |
Δ |
-279078912 = -1 · 211 · 33 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -1 0 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9435,-352746] |
[a1,a2,a3,a4,a6] |
Generators |
[14130:19824:125] |
Generators of the group modulo torsion |
j |
-1679792775750/5047 |
j-invariant |
L |
6.6143659233176 |
L(r)(E,1)/r! |
Ω |
0.24220550207702 |
Real period |
R |
6.8272250905215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103824a1 51912d1 |
Quadratic twists by: -4 -3 |