Atkin-Lehner |
3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37281a |
Isogeny class |
Conductor |
37281 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
-676424417423752521 = -1 · 33 · 1712 · 43 |
Discriminant |
Eigenvalues |
1 3+ 1 3 -3 7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-526997,152256402] |
[a1,a2,a3,a4,a6] |
Generators |
[276187842:7443123722:250047] |
Generators of the group modulo torsion |
j |
-670588189536889/28023717609 |
j-invariant |
L |
7.0970167708917 |
L(r)(E,1)/r! |
Ω |
0.28450701727038 |
Real period |
R |
12.472481063881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111843g1 2193b1 |
Quadratic twists by: -3 17 |