Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35378m |
Isogeny class |
Conductor |
35378 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
752400 |
Modular degree for the optimal curve |
Δ |
-303711079648012568 = -1 · 23 · 76 · 199 |
Discriminant |
Eigenvalues |
2- -3 -2 7- -2 3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21006,-26535435] |
[a1,a2,a3,a4,a6] |
Generators |
[63633:3047861:27] |
Generators of the group modulo torsion |
j |
-27/8 |
j-invariant |
L |
4.2508930012277 |
L(r)(E,1)/r! |
Ω |
0.13723498843707 |
Real period |
R |
5.1625476486716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722d1 35378d1 |
Quadratic twists by: -7 -19 |