Atkin-Lehner |
3+ 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114513b |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-50918021427609 = -1 · 34 · 76 · 194 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7398,-237504] |
[a1,a2,a3,a4,a6] |
j |
380605258223/432796041 |
j-invariant |
L |
1.3639231731632 |
L(r)(E,1)/r! |
Ω |
0.34098089119876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2337c4 |
Quadratic twists by: -7 |