Atkin-Lehner |
2- 3- 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310cg |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
143 |
Product of Tamagawa factors cp |
deg |
2082080 |
Modular degree for the optimal curve |
Δ |
337964400000000000 = 213 · 36 · 511 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-751502,-248998499] |
[a1,a2,a3,a4,a6] |
Generators |
[-499:1499:1] |
Generators of the group modulo torsion |
j |
64385202242701944729/463600000000000 |
j-invariant |
L |
10.917943867808 |
L(r)(E,1)/r! |
Ω |
0.16222043128002 |
Real period |
R |
0.47065130682383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11590b1 |
Quadratic twists by: -3 |