Atkin-Lehner |
2- 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70448i |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
169600 |
Modular degree for the optimal curve |
Δ |
-736121860096 = -1 · 212 · 75 · 172 · 37 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 3 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19717,1059891] |
[a1,a2,a3,a4,a6] |
Generators |
[78:51:1] |
Generators of the group modulo torsion |
j |
-206970428919808/179717251 |
j-invariant |
L |
3.711214166034 |
L(r)(E,1)/r! |
Ω |
0.89492762665721 |
Real period |
R |
2.0734716725856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4403c1 |
Quadratic twists by: -4 |