Atkin-Lehner |
5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45325i |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
347760 |
Modular degree for the optimal curve |
Δ |
489698788005507325 = 52 · 710 · 375 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-199333,6226086] |
[a1,a2,a3,a4,a6] |
Generators |
[449:2513:1] |
Generators of the group modulo torsion |
j |
124034085385/69343957 |
j-invariant |
L |
2.6637103681621 |
L(r)(E,1)/r! |
Ω |
0.2548854348628 |
Real period |
R |
2.0901236428949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45325q1 45325a1 |
Quadratic twists by: 5 -7 |