Atkin-Lehner |
2+ 3+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
15318a |
Isogeny class |
Conductor |
15318 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-9291299036332032 = -1 · 220 · 39 · 233 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16779,4557365] |
[a1,a2,a3,a4,a6] |
j |
26540926689789/472046895104 |
j-invariant |
L |
1.2224941207673 |
L(r)(E,1)/r! |
Ω |
0.30562353019182 |
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 |
122544v1 15318j1 |
Quadratic twists by: -4 -3 |