Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485k |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
4146123074625 = 39 · 53 · 73 · 173 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2418054,1447866503] |
[a1,a2,a3,a4,a6] |
Generators |
[1382:26589:1] |
Generators of the group modulo torsion |
j |
231598843578097029/614125 |
j-invariant |
L |
8.4595926499722 |
L(r)(E,1)/r! |
Ω |
0.51362408306931 |
Real period |
R |
5.4901323937275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37485h1 37485d1 |
Quadratic twists by: -3 -7 |