Atkin-Lehner |
2+ 3+ 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434b |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
4.4773380060411E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1195710,387109268] |
[a1,a2,a3,a4,a6] |
Generators |
[2358607140:-28259249482:2460375] |
Generators of the group modulo torsion |
j |
9605283952515768243/2274723368409856 |
j-invariant |
L |
5.8779188941264 |
L(r)(E,1)/r! |
Ω |
0.1901822470274 |
Real period |
R |
15.45338480832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70434s1 |
Quadratic twists by: -3 |