Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bi |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
5.7769946761157E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7335648,-7636066560] |
[a1,a2,a3,a4,a6] |
Generators |
[29484533:3339747488:2197] |
Generators of the group modulo torsion |
j |
10658087323714628358625/14103990908485632 |
j-invariant |
L |
4.2567946144568 |
L(r)(E,1)/r! |
Ω |
0.091743317451294 |
Real period |
R |
11.599740262493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778w1 |
Quadratic twists by: -4 |