Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780c |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-3648535590000 = -1 · 24 · 3 · 54 · 74 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21086,1189161] |
[a1,a2,a3,a4,a6] |
Generators |
[16:925:1] |
Generators of the group modulo torsion |
j |
-26990738785024/94974375 |
j-invariant |
L |
3.6745952969933 |
L(r)(E,1)/r! |
Ω |
0.79180437131067 |
Real period |
R |
0.25782149090319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108780bt1 |
Quadratic twists by: -7 |