Atkin-Lehner |
2- 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62320l |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-6497283776000000 = -1 · 212 · 56 · 195 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 4 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50501,5824499] |
[a1,a2,a3,a4,a6] |
j |
-3477541309272064/1586250921875 |
j-invariant |
L |
0.78977904309693 |
L(r)(E,1)/r! |
Ω |
0.39488952638008 |
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 |
3895c1 |
Quadratic twists by: -4 |