Atkin-Lehner |
2+ 3+ 13- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30498f |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1749033846314893632 = -1 · 26 · 3 · 1312 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,299826,7585908] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2962:1] |
Generators of the group modulo torsion |
j |
2980775866774524121367/1749033846314893632 |
j-invariant |
L |
2.8362643726427 |
L(r)(E,1)/r! |
Ω |
0.16077104530095 |
Real period |
R |
2.9402727828815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91494ba3 |
Quadratic twists by: -3 |