Atkin-Lehner |
3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
99705s |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
3369998678213925 = 33 · 52 · 177 · 233 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 -2 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-79860,8198606] |
[a1,a2,a3,a4,a6] |
Generators |
[45:2167:1] |
Generators of the group modulo torsion |
j |
2333584543744/139616325 |
j-invariant |
L |
4.3644735248726 |
L(r)(E,1)/r! |
Ω |
0.43906718457073 |
Real period |
R |
0.41418049450585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5865a1 |
Quadratic twists by: 17 |