Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736ca |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
394449209179222032 = 24 · 34 · 118 · 175 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-209854,-21285845] |
[a1,a2,a3,a4,a6] |
Generators |
[14079:88723:27] |
Generators of the group modulo torsion |
j |
297999868672/115008417 |
j-invariant |
L |
4.0696745541209 |
L(r)(E,1)/r! |
Ω |
0.23047712366274 |
Real period |
R |
8.8288036956888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684i1 98736cp1 |
Quadratic twists by: -4 -11 |