Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224cw |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3400320 |
Modular degree for the optimal curve |
Δ |
-7.0947489890021E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,250392,4052330292] |
[a1,a2,a3,a4,a6] |
Generators |
[-1787355714434106:114195700091764736:2033419614309] |
Generators of the group modulo torsion |
j |
423860920528484375/1732116452393091072 |
j-invariant |
L |
8.9204670507221 |
L(r)(E,1)/r! |
Ω |
0.10428718888894 |
Real period |
R |
21.384378910198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778d1 |
Quadratic twists by: -4 |