Atkin-Lehner |
3- 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
60255c |
Isogeny class |
Conductor |
60255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-9543587030859375 = -1 · 311 · 58 · 13 · 1032 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-192533,32902652] |
[a1,a2,a3,a4,a6] |
Generators |
[118:3378:1] |
Generators of the group modulo torsion |
j |
-1082703655153741321/13091340234375 |
j-invariant |
L |
2.0516581094394 |
L(r)(E,1)/r! |
Ω |
0.41075746791247 |
Real period |
R |
2.4974081660678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000797 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20085f1 |
Quadratic twists by: -3 |