Atkin-Lehner |
2- 3+ 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370i |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
49671532800 = 28 · 35 · 52 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2186,-38761] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:35:1] |
Generators of the group modulo torsion |
j |
1155278262557089/49671532800 |
j-invariant |
L |
6.6561849246995 |
L(r)(E,1)/r! |
Ω |
0.70006463790799 |
Real period |
R |
1.1884947053943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70110u1 116850bb1 |
Quadratic twists by: -3 5 |