Atkin-Lehner |
3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405b |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2861568 |
Modular degree for the optimal curve |
Δ |
-5.858469442043E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 0 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-779087,-453313826] |
[a1,a2,a3,a4,a6] |
Generators |
[5679487071:-3053651614397:19683] |
Generators of the group modulo torsion |
j |
-246491883/276125 |
j-invariant |
L |
5.6895035916833 |
L(r)(E,1)/r! |
Ω |
0.076980502978454 |
Real period |
R |
12.318061835338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99405a1 2115a1 |
Quadratic twists by: -3 -47 |