Atkin-Lehner |
3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
102675f |
Isogeny class |
Conductor |
102675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2954880 |
Modular degree for the optimal curve |
Δ |
-1728403327288176075 = -1 · 39 · 52 · 378 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -1 0 -5 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1079228,436507868] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:25326:1] |
Generators of the group modulo torsion |
j |
-2167271772160/26946027 |
j-invariant |
L |
1.6999427476176 |
L(r)(E,1)/r! |
Ω |
0.26629585217839 |
Real period |
R |
1.5959155710764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997623412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102675w1 2775d1 |
Quadratic twists by: 5 37 |