Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800f |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
-9.7325010953831E+22 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 0 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14072633,25257295363] |
[a1,a2,a3,a4,a6] |
Generators |
[10225649713598:693336581323825:1647212741] |
Generators of the group modulo torsion |
j |
-77053050549904731136/24331252738457875 |
j-invariant |
L |
4.3139526191778 |
L(r)(E,1)/r! |
Ω |
0.10082998598167 |
Real period |
R |
21.392210745532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57400f1 22960f1 |
Quadratic twists by: -4 5 |