Atkin-Lehner |
3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575d |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387840 |
Modular degree for the optimal curve |
Δ |
-180414685546875 = -1 · 39 · 59 · 13 · 192 |
Discriminant |
Eigenvalues |
-2 3+ 5- 5 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-23625,-1539844] |
[a1,a2,a3,a4,a6] |
Generators |
[231:2308:1] |
Generators of the group modulo torsion |
j |
-37933056/4693 |
j-invariant |
L |
4.0588267112426 |
L(r)(E,1)/r! |
Ω |
0.19121816742409 |
Real period |
R |
2.6532695388114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55575c1 55575e1 |
Quadratic twists by: -3 5 |