Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304es |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
37847040 |
Modular degree for the optimal curve |
Δ |
-6.0937360038523E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 5 13- -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-235251809,-1393815826815] |
[a1,a2,a3,a4,a6] |
Generators |
[69477:17822064:1] |
Generators of the group modulo torsion |
j |
-3811170500576969572/16129443546333 |
j-invariant |
L |
4.3082010028788 |
L(r)(E,1)/r! |
Ω |
0.019269761090563 |
Real period |
R |
2.540603843031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304cp1 30576s1 122304hh1 |
Quadratic twists by: -4 8 -7 |