Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
315b |
Isogeny class |
Conductor |
315 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9568125 = 37 · 54 · 7 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1013,12656] |
[a1,a2,a3,a4,a6] |
Generators |
[0:112:1] |
Generators of the group modulo torsion |
j |
157551496201/13125 |
j-invariant |
L |
1.1391577592797 |
L(r)(E,1)/r! |
Ω |
2.1956280654282 |
Real period |
R |
0.25941501140757 |
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 |
5040bd3 20160ch3 105a3 1575f3 |
Quadratic twists by: -4 8 -3 5 |