Atkin-Lehner |
5+ 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
103075c |
Isogeny class |
Conductor |
103075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
174080 |
Modular degree for the optimal curve |
Δ |
-154676921875 = -1 · 56 · 75 · 19 · 31 |
Discriminant |
Eigenvalues |
2 2 5+ 7+ 0 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2108,42493] |
[a1,a2,a3,a4,a6] |
Generators |
[44018:3382211:17576] |
Generators of the group modulo torsion |
j |
-66331758592/9899323 |
j-invariant |
L |
20.577416552612 |
L(r)(E,1)/r! |
Ω |
0.99113014963161 |
Real period |
R |
10.380784259827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4123b1 |
Quadratic twists by: 5 |