Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42700h |
Isogeny class |
Conductor |
42700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15336 |
Modular degree for the optimal curve |
Δ |
-635546800 = -1 · 24 · 52 · 7 · 613 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 0 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1160,-15255] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1711:1] |
Generators of the group modulo torsion |
j |
-431556526080/1588867 |
j-invariant |
L |
5.702173715702 |
L(r)(E,1)/r! |
Ω |
0.40893976931922 |
Real period |
R |
4.6479328118745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42700n1 |
Quadratic twists by: 5 |