Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310cc |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
439296 |
Modular degree for the optimal curve |
Δ |
-11027223674880 = -1 · 222 · 3 · 5 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -5 -1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4409,-111427] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1722:1] |
Generators of the group modulo torsion |
j |
3947714094191/4592762880 |
j-invariant |
L |
5.2576782966847 |
L(r)(E,1)/r! |
Ω |
0.3867247800895 |
Real period |
R |
0.20599091701796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310dp1 |
Quadratic twists by: -7 |