Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
124215bv |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
776160 |
Modular degree for the optimal curve |
Δ |
-11218070972175795 = -1 · 311 · 5 · 78 · 133 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -4 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,20809,-4956220] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1579:1] |
Generators of the group modulo torsion |
j |
78675968/885735 |
j-invariant |
L |
6.1469015772915 |
L(r)(E,1)/r! |
Ω |
0.19866544392337 |
Real period |
R |
1.4064077560633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998551926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215bl1 124215co1 |
Quadratic twists by: -7 13 |