Atkin-Lehner |
2- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
46900g |
Isogeny class |
Conductor |
46900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-328300000000 = -1 · 28 · 58 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -6 4 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9133,340137] |
[a1,a2,a3,a4,a6] |
Generators |
[72:225:1] |
Generators of the group modulo torsion |
j |
-21064523776/82075 |
j-invariant |
L |
8.9780495285132 |
L(r)(E,1)/r! |
Ω |
0.96810379796499 |
Real period |
R |
2.3184625314403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9380b1 |
Quadratic twists by: 5 |