Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400by |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
13132800 |
Modular degree for the optimal curve |
Δ |
-4.22295852645E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -4 -7 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76670208,-258373698588] |
[a1,a2,a3,a4,a6] |
Generators |
[12456:847962:1] |
Generators of the group modulo torsion |
j |
-9968587788612182600/84459170529 |
j-invariant |
L |
2.2748218123257 |
L(r)(E,1)/r! |
Ω |
0.025510130329916 |
Real period |
R |
4.4586636468756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400y1 98400bo1 |
Quadratic twists by: -4 5 |