Atkin-Lehner |
5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7315b |
Isogeny class |
Conductor |
7315 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-5.3410977125168E+23 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 11- 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,8377859,-33897793435] |
[a1,a2,a3,a4,a6] |
j |
65031354672821705633693696/534109771251678466796875 |
j-invariant |
L |
1.2390401049732 |
L(r)(E,1)/r! |
Ω |
0.045890374258268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117040bb3 65835bk3 36575e3 51205q3 |
Quadratic twists by: -4 -3 5 -7 |