Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
34400u |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-369800000000 = -1 · 29 · 58 · 432 |
Discriminant |
Eigenvalues |
2+ -3 5- 4 -1 -4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20875,1161250] |
[a1,a2,a3,a4,a6] |
Generators |
[94:172:1] |
Generators of the group modulo torsion |
j |
-5030060040/1849 |
j-invariant |
L |
3.5394648072332 |
L(r)(E,1)/r! |
Ω |
0.93659361756016 |
Real period |
R |
1.8895413874661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34400bm1 68800cb1 34400bc1 |
Quadratic twists by: -4 8 5 |