Atkin-Lehner |
2+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112l |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
396480 |
Modular degree for the optimal curve |
Δ |
-541143210608 = -1 · 24 · 72 · 11 · 137 |
Discriminant |
Eigenvalues |
2+ -3 -4 7- 11+ 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,413,35245] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:169:1] |
Generators of the group modulo torsion |
j |
9937057536/690233687 |
j-invariant |
L |
1.4046196074165 |
L(r)(E,1)/r! |
Ω |
0.70533259820443 |
Real period |
R |
0.28448983210319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995752293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56056w1 112112a1 |
Quadratic twists by: -4 -7 |