Atkin-Lehner |
2- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52142q |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
7660800 |
Modular degree for the optimal curve |
Δ |
2.0228067884306E+21 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 -4 -2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59100872,174861204544] |
[a1,a2,a3,a4,a6] |
Generators |
[10278:-813340:1] |
Generators of the group modulo torsion |
j |
38381097689522696233/3400685072384 |
j-invariant |
L |
2.0945194366485 |
L(r)(E,1)/r! |
Ω |
0.14072902623338 |
Real period |
R |
0.062013960820372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1798a1 |
Quadratic twists by: 29 |