Atkin-Lehner |
2- 3- 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770bd |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-443341288243200 = -1 · 228 · 3 · 52 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-103670,12879012] |
[a1,a2,a3,a4,a6] |
Generators |
[204:378:1] |
Generators of the group modulo torsion |
j |
-123220585921160861281/443341288243200 |
j-invariant |
L |
10.349663356836 |
L(r)(E,1)/r! |
Ω |
0.53080474333678 |
Real period |
R |
0.6963593276298 |
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 |
104310i1 |
Quadratic twists by: -3 |