Atkin-Lehner |
2- 5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050cd |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-18088000000000 = -1 · 212 · 59 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -1 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2787,-195469] |
[a1,a2,a3,a4,a6] |
j |
153216258551/1157632000 |
j-invariant |
L |
8.2304163016168 |
L(r)(E,1)/r! |
Ω |
0.34293404791407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22610b1 |
Quadratic twists by: 5 |