Atkin-Lehner |
5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45325p |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-107898609341796875 = -1 · 59 · 79 · 372 |
Discriminant |
Eigenvalues |
0 -3 5- 7- -3 -5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-49000,-16346094] |
[a1,a2,a3,a4,a6] |
Generators |
[350:3062:1] |
Generators of the group modulo torsion |
j |
-56623104/469567 |
j-invariant |
L |
2.1688950680044 |
L(r)(E,1)/r! |
Ω |
0.14108196291856 |
Real period |
R |
1.9216622585536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45325s1 6475e1 |
Quadratic twists by: 5 -7 |