Atkin-Lehner |
2+ 3- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050bb |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1988064000000000 = -1 · 214 · 34 · 59 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28501,2831648] |
[a1,a2,a3,a4,a6] |
Generators |
[307:4646:1] |
Generators of the group modulo torsion |
j |
-163855897047361/127236096000 |
j-invariant |
L |
7.0690678545666 |
L(r)(E,1)/r! |
Ω |
0.42825276994818 |
Real period |
R |
1.0316728032645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010m1 |
Quadratic twists by: 5 |