Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850cr |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-6908186250 = -1 · 2 · 37 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,9666] |
[a1,a2,a3,a4,a6] |
Generators |
[3:84:1] |
Generators of the group modulo torsion |
j |
-120670225/15162 |
j-invariant |
L |
4.9618873303638 |
L(r)(E,1)/r! |
Ω |
1.2897995470539 |
Real period |
R |
0.48087775943406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950dc1 59850ff1 |
Quadratic twists by: -3 5 |