Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602x |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
-296824209804936576 = -1 · 27 · 35 · 72 · 417 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53827,26627105] |
[a1,a2,a3,a4,a6] |
Generators |
[331:6558:1] |
Generators of the group modulo torsion |
j |
-3630961153/62487936 |
j-invariant |
L |
7.1839418474698 |
L(r)(E,1)/r! |
Ω |
0.25917656030336 |
Real period |
R |
0.49497020758407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1722n1 |
Quadratic twists by: 41 |