Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850dk |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
240000 |
Modular degree for the optimal curve |
Δ |
-48478500 = -1 · 22 · 36 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-260352,51196756] |
[a1,a2,a3,a4,a6] |
Generators |
[294:-122:1] |
Generators of the group modulo torsion |
j |
-21417553667311829/532 |
j-invariant |
L |
3.7841882264895 |
L(r)(E,1)/r! |
Ω |
1.0537536401101 |
Real period |
R |
0.89778769971539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650bi1 59850ge1 |
Quadratic twists by: -3 5 |