Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800cb |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-19148800 = -1 · 212 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 11- -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70768,7222548] |
[a1,a2,a3,a4,a6] |
Generators |
[154:16:1] |
Generators of the group modulo torsion |
j |
-382772438090905/187 |
j-invariant |
L |
2.5004065222377 |
L(r)(E,1)/r! |
Ω |
1.3206035446826 |
Real period |
R |
0.47334541355075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675c1 74800dm1 |
Quadratic twists by: -4 5 |