Atkin-Lehner |
2+ 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410k |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
-1.4973845369519E+19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 11+ -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100165,186600931] |
[a1,a2,a3,a4,a6] |
Generators |
[47534:3636483:8] |
Generators of the group modulo torsion |
j |
-944682558225561/127275585593750 |
j-invariant |
L |
2.1227622780438 |
L(r)(E,1)/r! |
Ω |
0.18156981436096 |
Real period |
R |
2.9227907217387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2090g1 |
Quadratic twists by: -7 |