Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108780p |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
14087010000 = 24 · 3 · 54 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2165,-37638] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:20:1] [82:574:1] |
Generators of the group modulo torsion |
j |
204589760512/2566875 |
j-invariant |
L |
10.490338418069 |
L(r)(E,1)/r! |
Ω |
0.70040288034613 |
Real period |
R |
3.7443943742719 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108780w1 |
Quadratic twists by: -7 |