Atkin-Lehner |
3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30723d |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3644433235567971 = 32 · 710 · 11 · 194 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43929,-2048850] |
[a1,a2,a3,a4,a6] |
j |
79690191516937/30977171379 |
j-invariant |
L |
1.3634391404232 |
L(r)(E,1)/r! |
Ω |
0.34085978510609 |
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 |
92169bf3 4389i4 |
Quadratic twists by: -3 -7 |