Atkin-Lehner |
3+ 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20235g |
Isogeny class |
Conductor |
20235 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4512 |
Modular degree for the optimal curve |
Δ |
-505875 = -1 · 3 · 53 · 19 · 71 |
Discriminant |
Eigenvalues |
2 3+ 5+ -3 5 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,14,-33] |
[a1,a2,a3,a4,a6] |
Generators |
[202:1001:8] |
Generators of the group modulo torsion |
j |
282300416/505875 |
j-invariant |
L |
7.2139581738797 |
L(r)(E,1)/r! |
Ω |
1.5410220879761 |
Real period |
R |
4.6812814885437 |
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 |
60705l1 101175s1 |
Quadratic twists by: -3 5 |