Atkin-Lehner |
2+ 3+ 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
60390c |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-11223843840 = -1 · 210 · 33 · 5 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11- 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15,5101] |
[a1,a2,a3,a4,a6] |
Generators |
[30:161:1] |
Generators of the group modulo torsion |
j |
-14348907/415697920 |
j-invariant |
L |
5.2459269199583 |
L(r)(E,1)/r! |
Ω |
1.0193285354688 |
Real period |
R |
0.42887112590771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60390x1 |
Quadratic twists by: -3 |