Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450bx |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2113445471450625000 = 23 · 36 · 57 · 136 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-963088,356598281] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:20967:1] |
Generators of the group modulo torsion |
j |
6322686217296773689/135260510172840 |
j-invariant |
L |
6.5962041252742 |
L(r)(E,1)/r! |
Ω |
0.26074955144161 |
Real period |
R |
1.0540452976036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090p2 |
Quadratic twists by: 5 |