Atkin-Lehner |
2- 3+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
127308c |
Isogeny class |
Conductor |
127308 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4137120 |
Modular degree for the optimal curve |
Δ |
-4.9252020764351E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,495087,309724254] |
[a1,a2,a3,a4,a6] |
Generators |
[51496344800100875543614239452140:-5092870572044536259991515431586111:5293844765552951222221460672] |
Generators of the group modulo torsion |
j |
702464000/2577987 |
j-invariant |
L |
6.3952068268475 |
L(r)(E,1)/r! |
Ω |
0.14263554331159 |
Real period |
R |
44.835996791113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1236c1 |
Quadratic twists by: -103 |