Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850c |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69189120 |
Modular degree for the optimal curve |
Δ |
-9.9919473996035E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-888757125,11274931162125] |
[a1,a2,a3,a4,a6] |
Generators |
[1333830:252520985:27] |
Generators of the group modulo torsion |
j |
-861923363555648023441/110929177533556800 |
j-invariant |
L |
3.7139638515542 |
L(r)(E,1)/r! |
Ω |
0.039528307789849 |
Real period |
R |
7.8297555664282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170cc1 80850cf1 |
Quadratic twists by: 5 -7 |