Atkin-Lehner |
2- 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127300m |
Isogeny class |
Conductor |
127300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2418700000000 = -1 · 28 · 58 · 192 · 67 |
Discriminant |
Eigenvalues |
2- -2 5- -4 4 -2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1667,-69537] |
[a1,a2,a3,a4,a6] |
Generators |
[33:150:1] [58:475:1] |
Generators of the group modulo torsion |
j |
5120000/24187 |
j-invariant |
L |
7.4112506243696 |
L(r)(E,1)/r! |
Ω |
0.41123226831113 |
Real period |
R |
1.0012252870276 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127300g1 |
Quadratic twists by: 5 |