Atkin-Lehner |
3+ 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
98637g |
Isogeny class |
Conductor |
98637 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
-322409057426379 = -1 · 35 · 711 · 11 · 61 |
Discriminant |
Eigenvalues |
-2 3+ -1 7- 11- 6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-318026,-68930170] |
[a1,a2,a3,a4,a6] |
Generators |
[143584583:1451432077:205379] |
Generators of the group modulo torsion |
j |
-30236026569158656/2740431771 |
j-invariant |
L |
2.6418622046928 |
L(r)(E,1)/r! |
Ω |
0.10051975627271 |
Real period |
R |
13.141009754838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14091d1 |
Quadratic twists by: -7 |