Atkin-Lehner |
2+ 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450k |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-551666700 = -1 · 22 · 34 · 52 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -1 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1330,18160] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:899:8] [34:100:1] |
Generators of the group modulo torsion |
j |
-10419544669585/22066668 |
j-invariant |
L |
6.2056054127531 |
L(r)(E,1)/r! |
Ω |
1.6437094366948 |
Real period |
R |
0.31461386839507 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60450cr1 |
Quadratic twists by: 5 |