Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30492y |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-26407657584 = -1 · 24 · 311 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ 5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,627,4961] |
[a1,a2,a3,a4,a6] |
j |
1755904/1701 |
j-invariant |
L |
3.1241264106467 |
L(r)(E,1)/r! |
Ω |
0.78103160266216 |
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 |
121968dj1 10164h1 30492j1 |
Quadratic twists by: -4 -3 -11 |