Atkin-Lehner |
2+ 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26934a |
Isogeny class |
Conductor |
26934 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-1226169693241344 = -1 · 224 · 35 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 -2 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25367,-637691] |
[a1,a2,a3,a4,a6] |
Generators |
[882:26183:1] |
Generators of the group modulo torsion |
j |
6001777343717/4076863488 |
j-invariant |
L |
2.9849977329431 |
L(r)(E,1)/r! |
Ω |
0.27531330323529 |
Real period |
R |
2.710546219403 |
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 |
80802m1 26934f1 |
Quadratic twists by: -3 -67 |