Atkin-Lehner |
3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247p |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1575936 |
Modular degree for the optimal curve |
Δ |
-878284950014584287 = -1 · 36 · 73 · 378 |
Discriminant |
Eigenvalues |
1 3- 4 7- -4 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63915,45532448] |
[a1,a2,a3,a4,a6] |
Generators |
[6320:811052:125] |
Generators of the group modulo torsion |
j |
-15438249/469567 |
j-invariant |
L |
10.05917922872 |
L(r)(E,1)/r! |
Ω |
0.2344288416109 |
Real period |
R |
7.1515512328805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9583c1 2331g1 |
Quadratic twists by: -3 37 |