Atkin-Lehner |
2- 3+ 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350by |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-2634431343750000 = -1 · 24 · 35 · 59 · 192 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3813,2469531] |
[a1,a2,a3,a4,a6] |
Generators |
[390:12201:8] |
Generators of the group modulo torsion |
j |
-392383937161/168603606000 |
j-invariant |
L |
10.169750931959 |
L(r)(E,1)/r! |
Ω |
0.36955358676307 |
Real period |
R |
3.4398769547771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670h1 |
Quadratic twists by: 5 |