Atkin-Lehner |
2+ 3- 7+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154q |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8601600 |
Modular degree for the optimal curve |
Δ |
-4.3546472732381E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7040817,-7008407955] |
[a1,a2,a3,a4,a6] |
Generators |
[810788522192510:31914146332854465:750841571969] |
Generators of the group modulo torsion |
j |
52949921290565062449167/59734530497093566464 |
j-invariant |
L |
2.3812939763676 |
L(r)(E,1)/r! |
Ω |
0.061465985658616 |
Real period |
R |
19.37082710794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718o1 |
Quadratic twists by: -3 |