Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568bn |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-73828157854464 = -1 · 28 · 312 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 3 3 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2398296,-1429559732] |
[a1,a2,a3,a4,a6] |
Generators |
[760674041666:-53904628271754:138188413] |
Generators of the group modulo torsion |
j |
-8174563425829593088/395598411 |
j-invariant |
L |
8.2026385304636 |
L(r)(E,1)/r! |
Ω |
0.060658806630164 |
Real period |
R |
16.903230928353 |
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 |
8892l1 11856bg1 |
Quadratic twists by: -4 -3 |