Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984bm |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-6.115496495814E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,885357,1145779371] |
[a1,a2,a3,a4,a6] |
Generators |
[-539:22627:1] |
Generators of the group modulo torsion |
j |
137566156032/1096135733 |
j-invariant |
L |
5.4225354527763 |
L(r)(E,1)/r! |
Ω |
0.11877892984564 |
Real period |
R |
2.8532709144695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968s1 60984d1 5544d1 |
Quadratic twists by: -4 -3 -11 |