Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736bo |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.9610582930026E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31634850848,2165703084052224] |
[a1,a2,a3,a4,a6] |
Generators |
[1017245981033253151024954290:2798240450735357763848589102:9857036213969416006625] |
Generators of the group modulo torsion |
j |
362515826352179162139875/203046912 |
j-invariant |
L |
5.1924193247564 |
L(r)(E,1)/r! |
Ω |
0.063272217028218 |
Real period |
R |
41.032380143173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342z2 98736bm2 |
Quadratic twists by: -4 -11 |