Atkin-Lehner |
2+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114920h |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
8502241280 = 211 · 5 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5- -3 3 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-680,5420] |
[a1,a2,a3,a4,a6] |
Generators |
[97:918:1] |
Generators of the group modulo torsion |
j |
100617218/24565 |
j-invariant |
L |
10.100519023278 |
L(r)(E,1)/r! |
Ω |
1.2263598186459 |
Real period |
R |
2.7453930144016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114920l1 |
Quadratic twists by: 13 |