Atkin-Lehner |
3+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98049i |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-6356222523 = -1 · 34 · 76 · 23 · 29 |
Discriminant |
Eigenvalues |
0 3+ 0 7- -4 -3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,327,2981] |
[a1,a2,a3,a4,a6] |
Generators |
[33:220:1] |
Generators of the group modulo torsion |
j |
32768000/54027 |
j-invariant |
L |
2.9009290647439 |
L(r)(E,1)/r! |
Ω |
0.91449162516748 |
Real period |
R |
0.79304418846667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999647762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2001c1 |
Quadratic twists by: -7 |