Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800bk |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-3.2467359232E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4835675,4926218250] |
[a1,a2,a3,a4,a6] |
Generators |
[1610:36250:1] |
Generators of the group modulo torsion |
j |
-195395722614328041/50730248800000 |
j-invariant |
L |
4.3149720790226 |
L(r)(E,1)/r! |
Ω |
0.13465987740726 |
Real period |
R |
4.0054359194653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3850s1 123200ea1 6160p1 |
Quadratic twists by: -4 8 5 |