Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702s |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-4.2515053153159E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1401948,712131664] |
[a1,a2,a3,a4,a6] |
Generators |
[24:26036:1] |
Generators of the group modulo torsion |
j |
-10358806345399/1445216256 |
j-invariant |
L |
2.7532303027746 |
L(r)(E,1)/r! |
Ω |
0.19661736686746 |
Real period |
R |
3.5007465854104 |
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 |
77616gr1 3234q1 9702q1 106722hh1 |
Quadratic twists by: -4 -3 -7 -11 |