Atkin-Lehner |
2+ 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994b |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6814080 |
Modular degree for the optimal curve |
Δ |
-7.1721212548426E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -5 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11153665,14900623093] |
[a1,a2,a3,a4,a6] |
Generators |
[4472610137:621229718210:6967871] |
Generators of the group modulo torsion |
j |
-188117736058773625/8792265719808 |
j-invariant |
L |
4.1183437714855 |
L(r)(E,1)/r! |
Ω |
0.13118597726969 |
Real period |
R |
15.696585325652 |
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 |
71994bi1 |
Quadratic twists by: 13 |