Atkin-Lehner |
3+ 7+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
114807b |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15692544 |
Modular degree for the optimal curve |
Δ |
1.1329824203777E+24 |
Discriminant |
Eigenvalues |
-1 3+ 3 7+ 11+ 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26309179,-8683186366] |
[a1,a2,a3,a4,a6] |
Generators |
[470992040:28122695181:64000] |
Generators of the group modulo torsion |
j |
349350428568537254257/196534523980569951 |
j-invariant |
L |
4.3674011330576 |
L(r)(E,1)/r! |
Ω |
0.071737494322555 |
Real period |
R |
5.0733594419585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114807r1 |
Quadratic twists by: -7 |