Atkin-Lehner |
2- 3+ 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30210x |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-559570187934720 = -1 · 210 · 36 · 5 · 19 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-808990,279732827] |
[a1,a2,a3,a4,a6] |
j |
-58553546605986960833761/559570187934720 |
j-invariant |
L |
4.6785098787401 |
L(r)(E,1)/r! |
Ω |
0.46785098787397 |
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 |
90630u1 |
Quadratic twists by: -3 |