Atkin-Lehner |
2- 3- 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
29394f |
Isogeny class |
Conductor |
29394 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-145372420444520448 = -1 · 218 · 314 · 23 · 712 |
Discriminant |
Eigenvalues |
2- 3- -4 4 -6 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80762,-20340295] |
[a1,a2,a3,a4,a6] |
Generators |
[393:2719:1] |
Generators of the group modulo torsion |
j |
-79912062246310489/199413471117312 |
j-invariant |
L |
6.4622012313103 |
L(r)(E,1)/r! |
Ω |
0.13190470887259 |
Real period |
R |
1.3608732492788 |
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 |
9798g1 |
Quadratic twists by: -3 |