Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658l |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
105840 |
Modular degree for the optimal curve |
Δ |
-14492846592 = -1 · 29 · 37 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7735,258709] |
[a1,a2,a3,a4,a6] |
Generators |
[45:43:1] |
Generators of the group modulo torsion |
j |
-27685698258625/7838208 |
j-invariant |
L |
3.8546673198018 |
L(r)(E,1)/r! |
Ω |
1.2215828091953 |
Real period |
R |
3.1554695191162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658bc1 |
Quadratic twists by: -43 |