Atkin-Lehner |
2+ 3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330n |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-2.1622808604233E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4824135,-70864245059] |
[a1,a2,a3,a4,a6] |
Generators |
[29807:5110223:1] |
Generators of the group modulo torsion |
j |
-17031566423031174549361/2966091715258299187200 |
j-invariant |
L |
3.8333843820726 |
L(r)(E,1)/r! |
Ω |
0.036671608057103 |
Real period |
R |
6.5332974628915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110bd1 |
Quadratic twists by: -3 |