Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
75140i |
Isogeny class |
Conductor |
75140 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
139536 |
Modular degree for the optimal curve |
Δ |
-116076603818240 = -1 · 28 · 5 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 0 5- 2 3 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4913,501126] |
[a1,a2,a3,a4,a6] |
Generators |
[38324013870:536054275236:335702375] |
Generators of the group modulo torsion |
j |
7344/65 |
j-invariant |
L |
7.9304188295596 |
L(r)(E,1)/r! |
Ω |
0.43271757608217 |
Real period |
R |
18.327008809812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75140b1 |
Quadratic twists by: 17 |