Atkin-Lehner |
2- 3- 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42978y |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
361152 |
Modular degree for the optimal curve |
Δ |
-31564736860520448 = -1 · 233 · 33 · 13 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -3 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,75992,2844224] |
[a1,a2,a3,a4,a6] |
Generators |
[16:2008:1] |
Generators of the group modulo torsion |
j |
48531864784997333375/31564736860520448 |
j-invariant |
L |
11.773791068897 |
L(r)(E,1)/r! |
Ω |
0.23147328185939 |
Real period |
R |
2.3120263255194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
128934z1 |
Quadratic twists by: -3 |