Atkin-Lehner |
2- 3+ 7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bc |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-30718549512 = -1 · 23 · 39 · 7 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -1 -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,376,-8045] |
[a1,a2,a3,a4,a6] |
Generators |
[35:199:1] |
Generators of the group modulo torsion |
j |
299418309/1560664 |
j-invariant |
L |
12.212834079989 |
L(r)(E,1)/r! |
Ω |
0.58984873683755 |
Real period |
R |
1.7254189255941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113274e1 |
Quadratic twists by: -3 |