Atkin-Lehner |
2- 3+ 7+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154bp |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
7885852547328 = 28 · 39 · 72 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41339,-3221909] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:92:1] |
Generators of the group modulo torsion |
j |
396919532109771/400642816 |
j-invariant |
L |
11.87436133546 |
L(r)(E,1)/r! |
Ω |
0.33483951382527 |
Real period |
R |
2.216427725482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154d1 |
Quadratic twists by: -3 |