Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19740j |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2318400 |
Modular degree for the optimal curve |
Δ |
-1.8358696179701E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -6 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13845155,5633772025] |
[a1,a2,a3,a4,a6] |
j |
1146508243994676127637504/717136569519556921875 |
j-invariant |
L |
2.632544829835 |
L(r)(E,1)/r! |
Ω |
0.062679638805594 |
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 |
78960dc1 59220r1 98700be1 |
Quadratic twists by: -4 -3 5 |