Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450bv |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
29859840 |
Modular degree for the optimal curve |
Δ |
-2.4039772211161E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37414242,-251797407084] |
[a1,a2,a3,a4,a6] |
Generators |
[8295:88341:1] |
Generators of the group modulo torsion |
j |
-4067963094761079821/16883900373270528 |
j-invariant |
L |
6.2240717133893 |
L(r)(E,1)/r! |
Ω |
0.027803395081242 |
Real period |
R |
3.4978145799063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150ck1 99450do1 |
Quadratic twists by: -3 5 |