Atkin-Lehner |
3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
9849j |
Isogeny class |
Conductor |
9849 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-592801234316272863 = -1 · 36 · 79 · 674 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- -4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,181936,21985760] |
[a1,a2,a3,a4,a6] |
Generators |
[2414:119357:1] |
Generators of the group modulo torsion |
j |
5660975162375567/5038727352687 |
j-invariant |
L |
1.693374178238 |
L(r)(E,1)/r! |
Ω |
0.18903831209166 |
Real period |
R |
4.4789179492277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29547y1 1407c1 |
Quadratic twists by: -3 -7 |