Atkin-Lehner |
2- 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610be |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
153498240000 = 210 · 36 · 54 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2462,-42451] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:61:1] |
Generators of the group modulo torsion |
j |
2263054145689/210560000 |
j-invariant |
L |
8.5278694317705 |
L(r)(E,1)/r! |
Ω |
0.68182469680373 |
Real period |
R |
0.62537111604696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3290a1 |
Quadratic twists by: -3 |