Atkin-Lehner |
2+ 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910h |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
715008 |
Modular degree for the optimal curve |
Δ |
-2338713470488500 = -1 · 22 · 37 · 53 · 79 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -5 5 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13842,-2234952] |
[a1,a2,a3,a4,a6] |
Generators |
[118:970:1] [122:1074:1] |
Generators of the group modulo torsion |
j |
7267563953/57955500 |
j-invariant |
L |
6.5896084952743 |
L(r)(E,1)/r! |
Ω |
0.22835733369539 |
Real period |
R |
7.2141415261202 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77910bg1 |
Quadratic twists by: -7 |