Atkin-Lehner |
3- 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98049u |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-34838455648563 = -1 · 37 · 77 · 23 · 292 |
Discriminant |
Eigenvalues |
0 3- 0 7- -3 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27113,-1750738] |
[a1,a2,a3,a4,a6] |
Generators |
[730:19183:1] |
Generators of the group modulo torsion |
j |
-18736316416000/296121987 |
j-invariant |
L |
6.2616009106409 |
L(r)(E,1)/r! |
Ω |
0.18585149379732 |
Real period |
R |
1.2032650367447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999974886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14007a1 |
Quadratic twists by: -7 |