Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108780p |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
731001600 = 28 · 32 · 52 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34540,-2459288] |
[a1,a2,a3,a4,a6] |
Generators |
[229:1260:1] [649:15750:1] |
Generators of the group modulo torsion |
j |
51900220154032/8325 |
j-invariant |
L |
10.490338418069 |
L(r)(E,1)/r! |
Ω |
0.35020144017306 |
Real period |
R |
14.977577497088 |
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 |
108780w2 |
Quadratic twists by: -7 |