Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968s |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3870720 |
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 |
[804:9261:1] |
Generators of the group modulo torsion |
j |
137566156032/1096135733 |
j-invariant |
L |
5.5002218254848 |
L(r)(E,1)/r! |
Ω |
0.080755070996876 |
Real period |
R |
2.4324972890111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60984bm1 121968p1 11088b1 |
Quadratic twists by: -4 -3 -11 |