Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9114m |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
99713145648227328 = 210 · 34 · 79 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-245810,-44399932] |
[a1,a2,a3,a4,a6] |
Generators |
[2253:102985:1] |
Generators of the group modulo torsion |
j |
40704034023199/2470984704 |
j-invariant |
L |
4.3105937658823 |
L(r)(E,1)/r! |
Ω |
0.21522677478073 |
Real period |
R |
5.0070370778378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912bt1 27342bh1 9114i1 |
Quadratic twists by: -4 -3 -7 |