Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736bo |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38320128 |
Modular degree for the optimal curve |
Δ |
2.022998682346E+25 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1977189408,33839201357568] |
[a1,a2,a3,a4,a6] |
Generators |
[987705854857422256:57920333156620042240:30667236163901] |
Generators of the group modulo torsion |
j |
88506348541062171875/2094601863168 |
j-invariant |
L |
5.1924193247564 |
L(r)(E,1)/r! |
Ω |
0.063272217028218 |
Real period |
R |
20.516190071587 |
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 |
12342z1 98736bm1 |
Quadratic twists by: -4 -11 |