Atkin-Lehner |
3+ 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114513h |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-45762486651 = -1 · 34 · 72 · 193 · 412 |
Discriminant |
Eigenvalues |
-1 3+ -3 7- 1 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3382,74990] |
[a1,a2,a3,a4,a6] |
Generators |
[-410:2937:8] [-32:405:1] |
Generators of the group modulo torsion |
j |
-87308488098097/933928299 |
j-invariant |
L |
5.4865872983982 |
L(r)(E,1)/r! |
Ω |
1.1404745068169 |
Real period |
R |
0.40089945512509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999963454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114513i1 |
Quadratic twists by: -7 |