Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020m |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-10612080 = -1 · 24 · 33 · 5 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -5 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-357,2601] |
[a1,a2,a3,a4,a6] |
Generators |
[0:51:1] |
Generators of the group modulo torsion |
j |
-2370816/5 |
j-invariant |
L |
7.5498513567541 |
L(r)(E,1)/r! |
Ω |
2.2845589700595 |
Real period |
R |
0.82618258662641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52020f1 52020g1 |
Quadratic twists by: -3 17 |