Atkin-Lehner |
2- 3+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310cs |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-5983776471859200 = -1 · 214 · 35 · 52 · 77 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,22980,-3462243] |
[a1,a2,a3,a4,a6] |
Generators |
[237:-4039:1] |
Generators of the group modulo torsion |
j |
11407339418831/50861260800 |
j-invariant |
L |
9.6682620998929 |
L(r)(E,1)/r! |
Ω |
0.21484738124889 |
Real period |
R |
0.40179111492029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330y1 |
Quadratic twists by: -7 |