Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630ce |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
644686778332800000 = 210 · 310 · 55 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-219521,8561279] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:6832:1] |
Generators of the group modulo torsion |
j |
9944061759313921/5479747200000 |
j-invariant |
L |
7.1284207189163 |
L(r)(E,1)/r! |
Ω |
0.25020361361217 |
Real period |
R |
2.8490478678541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890cy1 870i1 |
Quadratic twists by: -3 -7 |