Atkin-Lehner |
2- 3+ 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bb |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
200704 |
Modular degree for the optimal curve |
Δ |
16971704451072 = 214 · 33 · 74 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7271,134687] |
[a1,a2,a3,a4,a6] |
Generators |
[355:6318:1] [-65:606:1] |
Generators of the group modulo torsion |
j |
1574295971492691/628581646336 |
j-invariant |
L |
13.462509840092 |
L(r)(E,1)/r! |
Ω |
0.63005149555004 |
Real period |
R |
0.38155922671192 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426d1 |
Quadratic twists by: -3 |