Atkin-Lehner |
2- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
37100o |
Isogeny class |
Conductor |
37100 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-4.0613439963644E+19 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -5 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1870958,1031012713] |
[a1,a2,a3,a4,a6] |
Generators |
[1114:-18179:1] |
Generators of the group modulo torsion |
j |
-115887352706978560/6498150394183 |
j-invariant |
L |
3.7443324175382 |
L(r)(E,1)/r! |
Ω |
0.20128351235947 |
Real period |
R |
0.22145572382228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37100b1 |
Quadratic twists by: 5 |