Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702r |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7321876254 = 2 · 36 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-513,-1625] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:41:1] |
Generators of the group modulo torsion |
j |
59776471/29282 |
j-invariant |
L |
2.6054672304017 |
L(r)(E,1)/r! |
Ω |
1.0541881456499 |
Real period |
R |
1.2357695545871 |
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 |
77616go2 1078l2 9702o2 106722hf2 |
Quadratic twists by: -4 -3 -7 -11 |