Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850ct |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-336014179200000000 = -1 · 213 · 37 · 58 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -5 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7623117,-8099298459] |
[a1,a2,a3,a4,a6] |
Generators |
[21219:3052653:1] |
Generators of the group modulo torsion |
j |
-172041783999846385/1179967488 |
j-invariant |
L |
3.5521521940651 |
L(r)(E,1)/r! |
Ω |
0.045429319483875 |
Real period |
R |
6.5158951576474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950dd1 59850fi1 |
Quadratic twists by: -3 5 |