Atkin-Lehner |
2- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102602f |
Isogeny class |
Conductor |
102602 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2983680 |
Modular degree for the optimal curve |
Δ |
-262909090798751744 = -1 · 212 · 297 · 612 |
Discriminant |
Eigenvalues |
2- -3 -1 -4 1 5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-374403,-91469565] |
[a1,a2,a3,a4,a6] |
Generators |
[2255:101474:1] |
Generators of the group modulo torsion |
j |
-9757815386409/441995264 |
j-invariant |
L |
4.1349800507472 |
L(r)(E,1)/r! |
Ω |
0.096246944794982 |
Real period |
R |
0.44752286512785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3538c1 |
Quadratic twists by: 29 |