Atkin-Lehner |
2- 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15180f |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-13142025015015600 = -1 · 24 · 36 · 52 · 115 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29879,-5154830] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1357:1] [145:1485:1] |
Generators of the group modulo torsion |
j |
184368774577012736/821376563438475 |
j-invariant |
L |
5.2530408871725 |
L(r)(E,1)/r! |
Ω |
0.20121841653169 |
Real period |
R |
0.43510272549576 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720cb1 45540q1 75900y1 |
Quadratic twists by: -4 -3 5 |