Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98838ba |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-1.2799167448413E+21 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3394793,-2958690455] |
[a1,a2,a3,a4,a6] |
Generators |
[20005:2806880:1] |
Generators of the group modulo torsion |
j |
-9107069805387/2693995712 |
j-invariant |
L |
8.6385027297475 |
L(r)(E,1)/r! |
Ω |
0.054776569006802 |
Real period |
R |
0.65710142228692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98838d1 5814m1 |
Quadratic twists by: -3 17 |