Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370dl |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-198036133424640 = -1 · 29 · 33 · 5 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -5 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59291,5593041] |
[a1,a2,a3,a4,a6] |
Generators |
[88:985:1] |
Generators of the group modulo torsion |
j |
-195930594145441/1683279360 |
j-invariant |
L |
12.609032378573 |
L(r)(E,1)/r! |
Ω |
0.56801874306816 |
Real period |
R |
0.20553952027652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910ba1 |
Quadratic twists by: -7 |