Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bx |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16257024 |
Modular degree for the optimal curve |
Δ |
-7.0564310332408E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2542195,-40446066034] |
[a1,a2,a3,a4,a6] |
Generators |
[63733787885681773000850126795487:6052443722983541098475745281951696:6507169026820051642106629121] |
Generators of the group modulo torsion |
j |
-1865409391/724451328 |
j-invariant |
L |
7.5953398359469 |
L(r)(E,1)/r! |
Ω |
0.04054005094668 |
Real period |
R |
46.838494640378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84966z1 4998i1 |
Quadratic twists by: -7 17 |