Atkin-Lehner |
5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
98315d |
Isogeny class |
Conductor |
98315 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
274752 |
Modular degree for the optimal curve |
Δ |
-2179089164397635 = -1 · 5 · 7 · 538 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 1 5 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9305,-2221524] |
[a1,a2,a3,a4,a6] |
Generators |
[101817278552093889290:114864775754648223923:943446896758771768] |
Generators of the group modulo torsion |
j |
1431/35 |
j-invariant |
L |
7.3817741076151 |
L(r)(E,1)/r! |
Ω |
0.22411842652072 |
Real period |
R |
32.936935272177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98315j1 |
Quadratic twists by: 53 |