Atkin-Lehner |
2- 3+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050bl |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-32439613050 = -1 · 2 · 35 · 52 · 13 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 0 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11063,443351] |
[a1,a2,a3,a4,a6] |
Generators |
[6478:179755:8] |
Generators of the group modulo torsion |
j |
-5989697562825625/1297584522 |
j-invariant |
L |
9.1683660035297 |
L(r)(E,1)/r! |
Ω |
1.1368898613289 |
Real period |
R |
8.0644276182968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050bd1 |
Quadratic twists by: 5 |