Atkin-Lehner |
2+ 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310n |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2483712 |
Modular degree for the optimal curve |
Δ |
-2757324198232719360 = -1 · 222 · 37 · 5 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-350718,112874868] |
[a1,a2,a3,a4,a6] |
Generators |
[7916:698506:1] |
Generators of the group modulo torsion |
j |
-40551934291467481/23436868976640 |
j-invariant |
L |
3.0688416930185 |
L(r)(E,1)/r! |
Ω |
0.23666041414886 |
Real period |
R |
3.2418198541527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999214668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330l1 |
Quadratic twists by: -7 |