Atkin-Lehner |
2+ 3+ 5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29670h |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-34815422669760 = -1 · 26 · 314 · 5 · 232 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3462,293076] |
[a1,a2,a3,a4,a6] |
j |
-4590932395818601/34815422669760 |
j-invariant |
L |
1.1214097077467 |
L(r)(E,1)/r! |
Ω |
0.56070485387386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89010bq1 |
Quadratic twists by: -3 |