Atkin-Lehner |
2- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45494l |
Isogeny class |
Conductor |
45494 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-4797480770633728 = -1 · 215 · 237 · 43 |
Discriminant |
Eigenvalues |
2- -2 0 -2 0 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49208,-5366720] |
[a1,a2,a3,a4,a6] |
Generators |
[688:16584:1] |
Generators of the group modulo torsion |
j |
-89015244625/32407552 |
j-invariant |
L |
5.1082208924517 |
L(r)(E,1)/r! |
Ω |
0.15740499409198 |
Real period |
R |
1.0817574799992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1978e1 |
Quadratic twists by: -23 |