Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850ei |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
1.2610902528E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7190930,7421911697] |
[a1,a2,a3,a4,a6] |
Generators |
[705:51631:1] |
Generators of the group modulo torsion |
j |
779803240794564519/239140077568 |
j-invariant |
L |
10.604076198405 |
L(r)(E,1)/r! |
Ω |
0.22006134302268 |
Real period |
R |
1.3385252863088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850u1 59850w1 |
Quadratic twists by: -3 5 |