Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992cs |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
524288 |
Modular degree for the optimal curve |
Δ |
-1152142834139136 = -1 · 218 · 310 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20724,1161200] |
[a1,a2,a3,a4,a6] |
Generators |
[13:1197:1] |
Generators of the group modulo torsion |
j |
5150827583/6028911 |
j-invariant |
L |
6.931530490392 |
L(r)(E,1)/r! |
Ω |
0.32574698223846 |
Real period |
R |
2.6598597839324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000155874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fe1 1953d1 41664s1 |
Quadratic twists by: -4 8 -3 |