Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400fr |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-26353376000000000 = -1 · 214 · 59 · 77 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- -3 1 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196000,-34300000] |
[a1,a2,a3,a4,a6] |
Generators |
[13587384300:519991632125:8489664] |
Generators of the group modulo torsion |
j |
-221184/7 |
j-invariant |
L |
12.06370228928 |
L(r)(E,1)/r! |
Ω |
0.11323923115386 |
Real period |
R |
13.31661095536 |
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 |
78400lk1 4900w1 78400fu1 11200bs1 |
Quadratic twists by: -4 8 5 -7 |