Atkin-Lehner |
2- 3- 7+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124614r |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1249920 |
Modular degree for the optimal curve |
Δ |
-937716609586176 = -1 · 210 · 36 · 74 · 233 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 3 -1 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-234911,-43789049] |
[a1,a2,a3,a4,a6] |
Generators |
[587:4214:1] |
Generators of the group modulo torsion |
j |
-1966547820003866793/1286305362944 |
j-invariant |
L |
8.2797821056703 |
L(r)(E,1)/r! |
Ω |
0.10842435017537 |
Real period |
R |
1.2727433337858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999653673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13846b1 |
Quadratic twists by: -3 |