Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23534q |
Isogeny class |
Conductor |
23534 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-41482352328704 = -1 · 221 · 7 · 414 |
Discriminant |
Eigenvalues |
2+ 3 2 7- -2 -3 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1996,312272] |
[a1,a2,a3,a4,a6] |
Generators |
[3297:35354:27] |
Generators of the group modulo torsion |
j |
-311309433/14680064 |
j-invariant |
L |
7.7709078111677 |
L(r)(E,1)/r! |
Ω |
0.53410864544973 |
Real period |
R |
4.8497672258075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23534j1 |
Quadratic twists by: 41 |