Atkin-Lehner |
3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
92925w |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
338711625 = 38 · 53 · 7 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 0 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-432,3451] |
[a1,a2,a3,a4,a6] |
Generators |
[142:199:8] |
Generators of the group modulo torsion |
j |
97972181/3717 |
j-invariant |
L |
7.7234617739159 |
L(r)(E,1)/r! |
Ω |
1.6955322911103 |
Real period |
R |
2.2775920635085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30975k1 92925bi1 |
Quadratic twists by: -3 5 |