Atkin-Lehner |
2+ 3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618l |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4529709252432 = 24 · 32 · 73 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12310,510532] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:1042:1] |
Generators of the group modulo torsion |
j |
601532192173375/13206149424 |
j-invariant |
L |
2.88478387721 |
L(r)(E,1)/r! |
Ω |
0.77360570385541 |
Real period |
R |
0.31075088417431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72618ba2 |
Quadratic twists by: -7 |