Atkin-Lehner |
2+ 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602b |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-461726548585456896 = -1 · 28 · 33 · 73 · 417 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 2 5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71477,-33539667] |
[a1,a2,a3,a4,a6] |
Generators |
[10643534:945976305:1331] |
Generators of the group modulo torsion |
j |
-8502154921/97203456 |
j-invariant |
L |
4.3923441413846 |
L(r)(E,1)/r! |
Ω |
0.12607756639277 |
Real period |
R |
8.7096068472272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1722f1 |
Quadratic twists by: 41 |