Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520cv |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.3530066421236E+21 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32295067,70585318986] |
[a1,a2,a3,a4,a6] |
Generators |
[-2870:373674:1] |
Generators of the group modulo torsion |
j |
7730081871906369249/6958028859040 |
j-invariant |
L |
6.8406431478619 |
L(r)(E,1)/r! |
Ω |
0.14031378189415 |
Real period |
R |
4.0627056708703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999693458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190bc2 17360w2 |
Quadratic twists by: -4 -7 |