Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520dd |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
10056263270400000 = 230 · 34 · 55 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12488865,-16991784225] |
[a1,a2,a3,a4,a6] |
Generators |
[63495:-15974400:1] |
Generators of the group modulo torsion |
j |
821774646379511057449/38361600000 |
j-invariant |
L |
6.7077709123933 |
L(r)(E,1)/r! |
Ω |
0.08030984916461 |
Real period |
R |
4.1761819889892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35520s1 8880l1 106560fi1 |
Quadratic twists by: -4 8 -3 |