Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240o |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-109670400 = -1 · 212 · 32 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,119,-119] |
[a1,a2,a3,a4,a6] |
Generators |
[3:16:1] [5:24:1] |
Generators of the group modulo torsion |
j |
45118016/26775 |
j-invariant |
L |
9.4686463477009 |
L(r)(E,1)/r! |
Ω |
1.0981026703674 |
Real period |
R |
2.1556832998377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999953833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dp1 57120ba1 |
Quadratic twists by: -4 8 |