Atkin-Lehner |
2- 3+ 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21318o |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
1056 |
Product of Tamagawa factors cp |
Δ |
-1229817926475122688 = -1 · 211 · 32 · 116 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-499599,145808277] |
[a1,a2,a3,a4,a6] |
Generators |
[14695:-1786774:1] [-581:15794:1] |
Generators of the group modulo torsion |
j |
-13790767849054654417777/1229817926475122688 |
j-invariant |
L |
7.9188636015412 |
L(r)(E,1)/r! |
Ω |
0.26694611881986 |
Real period |
R |
0.11236610441461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954l2 |
Quadratic twists by: -3 |