Atkin-Lehner |
2+ 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310bi |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-90177958500 = -1 · 22 · 3 · 53 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,856,10826] |
[a1,a2,a3,a4,a6] |
Generators |
[11:141:1] |
Generators of the group modulo torsion |
j |
590589719/766500 |
j-invariant |
L |
4.1738646087635 |
L(r)(E,1)/r! |
Ω |
0.721752830122 |
Real period |
R |
1.4457389094294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330f1 |
Quadratic twists by: -7 |