Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850em |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
72253440 |
Modular degree for the optimal curve |
Δ |
6.1145584257917E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2400696838,45257910614531] |
[a1,a2,a3,a4,a6] |
j |
2426796094451411844127/969756530688000 |
j-invariant |
L |
2.8321099360884 |
L(r)(E,1)/r! |
Ω |
0.050573392043852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170w1 80850go1 |
Quadratic twists by: 5 -7 |