Atkin-Lehner |
2+ 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
22120b |
Isogeny class |
Conductor |
22120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
4080556739840 = 28 · 5 · 79 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 5 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40545,-3154397] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:38:1] |
Generators of the group modulo torsion |
j |
28794289876919296/15939674765 |
j-invariant |
L |
3.7322123736688 |
L(r)(E,1)/r! |
Ω |
0.3364563782475 |
Real period |
R |
2.7731770111692 |
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 |
44240h1 110600m1 |
Quadratic twists by: -4 5 |