Atkin-Lehner |
2- 3+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15318j |
Isogeny class |
Conductor |
15318 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-12745266167808 = -1 · 220 · 33 · 233 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 -2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1864,-169413] |
[a1,a2,a3,a4,a6] |
Generators |
[45:41:1] [53:249:1] |
Generators of the group modulo torsion |
j |
26540926689789/472046895104 |
j-invariant |
L |
8.2120864104816 |
L(r)(E,1)/r! |
Ω |
0.34608764547602 |
Real period |
R |
0.19773619288421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122544r1 15318a1 |
Quadratic twists by: -4 -3 |