Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630ci |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-363995991717120000 = -1 · 211 · 35 · 54 · 79 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 7 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-503721,-140842857] |
[a1,a2,a3,a4,a6] |
Generators |
[1791:-69496:1] |
Generators of the group modulo torsion |
j |
-120144998550165121/3093914880000 |
j-invariant |
L |
7.2306377571153 |
L(r)(E,1)/r! |
Ω |
0.0894667566825 |
Real period |
R |
0.91840076913357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890dd1 6090bb1 |
Quadratic twists by: -3 -7 |