Atkin-Lehner |
2- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30008f |
Isogeny class |
Conductor |
30008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-98190604357440496 = -1 · 24 · 118 · 315 |
Discriminant |
Eigenvalues |
2- 2 -3 -3 11- 0 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5925652,5554032849] |
[a1,a2,a3,a4,a6] |
Generators |
[1404:183:1] |
Generators of the group modulo torsion |
j |
-811813221498166528/3464127271 |
j-invariant |
L |
5.4563202302622 |
L(r)(E,1)/r! |
Ω |
0.29680390163016 |
Real period |
R |
4.5958966512013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60016h1 2728b1 |
Quadratic twists by: -4 -11 |