Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93100i |
Isogeny class |
Conductor |
93100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1547787500000000 = -1 · 28 · 511 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -5 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110133,14157863] |
[a1,a2,a3,a4,a6] |
Generators |
[178:475:1] |
Generators of the group modulo torsion |
j |
-107677745152/1128125 |
j-invariant |
L |
7.0393412200784 |
L(r)(E,1)/r! |
Ω |
0.47828507212078 |
Real period |
R |
1.8397347155253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18620k1 93100x1 |
Quadratic twists by: 5 -7 |