Atkin-Lehner |
3- 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
92463l |
Isogeny class |
Conductor |
92463 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1400832 |
Modular degree for the optimal curve |
Δ |
-59575342982940099 = -1 · 34 · 77 · 176 · 37 |
Discriminant |
Eigenvalues |
2 3- -1 7- -3 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-493936,-134294513] |
[a1,a2,a3,a4,a6] |
Generators |
[38026:2591459:8] |
Generators of the group modulo torsion |
j |
-113278735513686016/506382060051 |
j-invariant |
L |
14.636824920213 |
L(r)(E,1)/r! |
Ω |
0.090019305922966 |
Real period |
R |
3.3874272775361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13209b1 |
Quadratic twists by: -7 |