Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340i |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-6074445484800 = -1 · 28 · 33 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1045,-118943] |
[a1,a2,a3,a4,a6] |
Generators |
[264:4235:1] |
Generators of the group modulo torsion |
j |
-205520896/9882675 |
j-invariant |
L |
4.7390939580823 |
L(r)(E,1)/r! |
Ω |
0.33109325484897 |
Real period |
R |
1.1927893145604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360hd1 97020bh1 32340bd1 |
Quadratic twists by: -4 -3 -7 |