Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950er |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
45722880 |
Modular degree for the optimal curve |
Δ |
1.0159911237119E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-325984163,2265201675281] |
[a1,a2,a3,a4,a6] |
Generators |
[10109:49838:1] |
Generators of the group modulo torsion |
j |
42531320912955257257/1127938881456 |
j-invariant |
L |
6.3824798525099 |
L(r)(E,1)/r! |
Ω |
0.098650815716892 |
Real period |
R |
5.3914740838223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998k1 124950hw1 |
Quadratic twists by: 5 -7 |