Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510dn |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
1824 |
Product of Tamagawa factors cp |
deg |
12257280 |
Modular degree for the optimal curve |
Δ |
-5.0018231328076E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51229688,-177461164933] |
[a1,a2,a3,a4,a6] |
Generators |
[9453:422953:1] |
Generators of the group modulo torsion |
j |
-59465789423385795028207/20003531867239219200 |
j-invariant |
L |
7.6692881319005 |
L(r)(E,1)/r! |
Ω |
0.027743015574319 |
Real period |
R |
0.60622877420176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bb1 48510el1 |
Quadratic twists by: -3 -7 |