Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13860j |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-3.2352681497598E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17677848,-28621396172] |
[a1,a2,a3,a4,a6] |
Generators |
[7079405809022415279669946787228563:913814692932019912005371192479894617:398869117771796234239847321663] |
Generators of the group modulo torsion |
j |
-3273741656681120014336/1733575611796875 |
j-invariant |
L |
3.994376895481 |
L(r)(E,1)/r! |
Ω |
0.036812763116393 |
Real period |
R |
54.252609113472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55440ds1 4620m1 69300bw1 97020cq1 |
Quadratic twists by: -4 -3 5 -7 |