Atkin-Lehner |
2- 3+ 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518v |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
39352320 |
Modular degree for the optimal curve |
Δ |
-2.6965655635982E+25 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-236070776,-1418204066309] |
[a1,a2,a3,a4,a6] |
j |
-73919513648824273507002939/1369997238021768000512 |
j-invariant |
L |
5.3862889517727 |
L(r)(E,1)/r! |
Ω |
0.01923674671817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518e1 |
Quadratic twists by: -3 |