Atkin-Lehner |
2+ 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310bs |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-97786237500 = -1 · 22 · 37 · 55 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 1 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,387,14788] |
[a1,a2,a3,a4,a6] |
Generators |
[29:210:1] |
Generators of the group modulo torsion |
j |
131302411751/1995637500 |
j-invariant |
L |
6.6892568648682 |
L(r)(E,1)/r! |
Ω |
0.79151498835279 |
Real period |
R |
0.12073152577567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310a1 |
Quadratic twists by: -7 |