Atkin-Lehner |
2+ 3- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30798d |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-1.0828281141017E+20 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 5 3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15529635,-23556810987] |
[a1,a2,a3,a4,a6] |
j |
-568172153481183395757361/148536092469362688 |
j-invariant |
L |
3.8025281212188 |
L(r)(E,1)/r! |
Ω |
0.038025281212261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266j1 |
Quadratic twists by: -3 |