Atkin-Lehner |
2+ 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184s |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-6894392494488576 = -1 · 210 · 3 · 73 · 11 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61264,7093264] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:2436:1] [-60:3248:1] |
Generators of the group modulo torsion |
j |
-24834012271113028/6732805170399 |
j-invariant |
L |
8.9476988315435 |
L(r)(E,1)/r! |
Ω |
0.39941195098033 |
Real period |
R |
1.2445656126883 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592h1 |
Quadratic twists by: -4 |