Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702j |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-476872704 = -1 · 215 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- -2 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-660,-6448] |
[a1,a2,a3,a4,a6] |
Generators |
[31:31:1] |
Generators of the group modulo torsion |
j |
-24052806603/360448 |
j-invariant |
L |
3.0782286817104 |
L(r)(E,1)/r! |
Ω |
0.47050678946201 |
Real period |
R |
3.2711841259827 |
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 |
77616df1 9702bf1 9702b1 106722er1 |
Quadratic twists by: -4 -3 -7 -11 |