Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658m |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4045440 |
Modular degree for the optimal curve |
Δ |
-9.3400504261552E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -5 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1780625,-1732344849] |
[a1,a2,a3,a4,a6] |
Generators |
[2315:79829:1] |
Generators of the group modulo torsion |
j |
-28890625/43218 |
j-invariant |
L |
3.0106601749852 |
L(r)(E,1)/r! |
Ω |
0.062039970434544 |
Real period |
R |
6.0659687505895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658bd1 |
Quadratic twists by: -43 |