Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992ev |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-3766017903427584 = -1 · 217 · 39 · 72 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -3 3 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38292,632144] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-3472:1] [10:1008:1] |
Generators of the group modulo torsion |
j |
64984593742/39413493 |
j-invariant |
L |
11.195909140541 |
L(r)(E,1)/r! |
Ω |
0.27175521844219 |
Real period |
R |
0.8583022196989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999995323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992cn1 31248k1 41664cj1 |
Quadratic twists by: -4 8 -3 |