Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550bn |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
1672704 |
Modular degree for the optimal curve |
Δ |
-1.1929882121983E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,562649,-34985302] |
[a1,a2,a3,a4,a6] |
Generators |
[686:29473:8] |
Generators of the group modulo torsion |
j |
31517913432479997575/19087811395172352 |
j-invariant |
L |
6.7332215287334 |
L(r)(E,1)/r! |
Ω |
0.13117685274561 |
Real period |
R |
2.1387225802395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002095 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74550by1 |
Quadratic twists by: 5 |