Atkin-Lehner |
2+ 3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550bb |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
12887218341648000 = 27 · 38 · 53 · 73 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -1 -3 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-684980,217851600] |
[a1,a2,a3,a4,a6] |
Generators |
[-619:20438:1] [-185:18485:1] |
Generators of the group modulo torsion |
j |
284346811907525892797/103097746733184 |
j-invariant |
L |
7.1517592632967 |
L(r)(E,1)/r! |
Ω |
0.39169104362711 |
Real period |
R |
0.5071854022978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550dp1 |
Quadratic twists by: 5 |