Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912ch |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
14444639982452736 = 220 · 312 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-715457,232618815] |
[a1,a2,a3,a4,a6] |
j |
154502321244119857/55101928644 |
j-invariant |
L |
4.6545921685364 |
L(r)(E,1)/r! |
Ω |
0.3878826807115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30912e2 7728l2 92736fq2 |
Quadratic twists by: -4 8 -3 |