Atkin-Lehner |
2- 3+ 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154bq |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
3905065527552 = 28 · 33 · 72 · 193 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -6 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21662,1228845] |
[a1,a2,a3,a4,a6] |
Generators |
[2649:-6791:27] [-103:1587:1] |
Generators of the group modulo torsion |
j |
41632913740884003/144632056576 |
j-invariant |
L |
11.966228041793 |
L(r)(E,1)/r! |
Ω |
0.787300121971 |
Real period |
R |
0.31664724871095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154c1 |
Quadratic twists by: -3 |