Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736bu |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-68780102869057536 = -1 · 221 · 32 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 11- 6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-484040,130393584] |
[a1,a2,a3,a4,a6] |
Generators |
[-524:15488:1] |
Generators of the group modulo torsion |
j |
-14284562281/78336 |
j-invariant |
L |
6.5259784549092 |
L(r)(E,1)/r! |
Ω |
0.34896255676369 |
Real period |
R |
0.77921187482066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12342i1 98736cl1 |
Quadratic twists by: -4 -11 |