Atkin-Lehner |
2+ 3+ 5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29670f |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-1328461195200000 = -1 · 29 · 3 · 55 · 235 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 6 7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-704252,227192016] |
[a1,a2,a3,a4,a6] |
j |
-38628597707829782863561/1328461195200000 |
j-invariant |
L |
2.2538191249768 |
L(r)(E,1)/r! |
Ω |
0.45076382499567 |
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 |
89010bo1 |
Quadratic twists by: -3 |