Atkin-Lehner |
2- 3+ 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480bd |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5.1480987514251E+31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1222579200,344815816398720] |
[a1,a2,a3,a4,a6] |
Generators |
[24760983974207034740375093837438252962320413968665775119332957777215:687333808269427404647659793038770523933246580787414592447625211141361082:36970803742156649554369401274816068496931591332395084777653817875] |
Generators of the group modulo torsion |
j |
49339503184159010517017932799/12568600467346487856214473570 |
j-invariant |
L |
6.0665655248028 |
L(r)(E,1)/r! |
Ω |
0.015478051115546 |
Real period |
R |
97.986585641744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810u3 |
Quadratic twists by: -4 |