Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736s |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
571453338809232 = 24 · 34 · 1110 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- 7 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63444,6063543] |
[a1,a2,a3,a4,a6] |
Generators |
[167:313:1] |
Generators of the group modulo torsion |
j |
68054272/1377 |
j-invariant |
L |
5.0179685186258 |
L(r)(E,1)/r! |
Ω |
0.51736117787191 |
Real period |
R |
4.8495796959833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999825239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49368q1 98736i1 |
Quadratic twists by: -4 -11 |