Atkin-Lehner |
2+ 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978c |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-272538 = -1 · 2 · 33 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 3 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6,-26] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
804357/10094 |
j-invariant |
L |
2.4518682212001 |
L(r)(E,1)/r! |
Ω |
1.5190614331281 |
Real period |
R |
0.40351696246925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103824bd1 12978t1 90846p1 |
Quadratic twists by: -4 -3 -7 |