Atkin-Lehner |
2- 3+ 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37230u |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
3612672 |
Modular degree for the optimal curve |
Δ |
-3.5544915254477E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5057199,7946824623] |
[a1,a2,a3,a4,a6] |
Generators |
[5071:402464:1] |
Generators of the group modulo torsion |
j |
14303879305112914366519151/35544915254476800000000 |
j-invariant |
L |
7.9430965553604 |
L(r)(E,1)/r! |
Ω |
0.081006941918955 |
Real period |
R |
1.1673156773738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111690o1 |
Quadratic twists by: -3 |