Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51800d |
Isogeny class |
Conductor |
51800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-443213750000 = -1 · 24 · 57 · 7 · 373 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -4 6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-380408,-90180563] |
[a1,a2,a3,a4,a6] |
Generators |
[758:7511:1] |
Generators of the group modulo torsion |
j |
-24351951486578944/1772855 |
j-invariant |
L |
4.9154760421187 |
L(r)(E,1)/r! |
Ω |
0.096118514802106 |
Real period |
R |
4.2616451611816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600h1 10360g1 |
Quadratic twists by: -4 5 |