Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702bf |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-347640201216 = -1 · 215 · 39 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ -2 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5942,180037] |
[a1,a2,a3,a4,a6] |
Generators |
[25:203:1] |
Generators of the group modulo torsion |
j |
-24052806603/360448 |
j-invariant |
L |
6.9587639310543 |
L(r)(E,1)/r! |
Ω |
0.9614773406023 |
Real period |
R |
0.24125248501073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616ds1 9702j1 9702ba1 106722s1 |
Quadratic twists by: -4 -3 -7 -11 |