Atkin-Lehner |
2- 3- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
29394g |
Isogeny class |
Conductor |
29394 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
163328 |
Modular degree for the optimal curve |
Δ |
-354512837541888 = -1 · 222 · 36 · 23 · 712 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15595,-512531] |
[a1,a2,a3,a4,a6] |
Generators |
[43:464:1] [47:544:1] |
Generators of the group modulo torsion |
j |
575411355984375/486300188672 |
j-invariant |
L |
10.682294514538 |
L(r)(E,1)/r! |
Ω |
0.29728340536809 |
Real period |
R |
0.8166598484848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3266b1 |
Quadratic twists by: -3 |