Atkin-Lehner |
2+ 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434r |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2333760 |
Modular degree for the optimal curve |
Δ |
-242232939464491008 = -1 · 217 · 39 · 116 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 11- 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,154071,4309069] |
[a1,a2,a3,a4,a6] |
Generators |
[287:8348:1] |
Generators of the group modulo torsion |
j |
313185171671/187564032 |
j-invariant |
L |
3.4011273996681 |
L(r)(E,1)/r! |
Ω |
0.19127567503846 |
Real period |
R |
4.4453213996766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999815469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38478h1 954j1 |
Quadratic twists by: -3 -11 |