Atkin-Lehner |
2+ 3- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230l |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-9046890 = -1 · 2 · 36 · 5 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5934,175426] |
[a1,a2,a3,a4,a6] |
Generators |
[310:351:8] |
Generators of the group modulo torsion |
j |
-23102614259287129/9046890 |
j-invariant |
L |
3.934765418399 |
L(r)(E,1)/r! |
Ω |
1.8752789010437 |
Real period |
R |
3.1473441760114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111690cc1 |
Quadratic twists by: -3 |