Atkin-Lehner |
5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98315j |
Isogeny class |
Conductor |
98315 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-98315 = -1 · 5 · 7 · 532 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 1 5 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[22:9:8] |
Generators of the group modulo torsion |
j |
1431/35 |
j-invariant |
L |
4.6687769793828 |
L(r)(E,1)/r! |
Ω |
1.6316067732835 |
Real period |
R |
2.861459665394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98315d1 |
Quadratic twists by: 53 |