Atkin-Lehner |
2- 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7378o |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1376675776 = -1 · 26 · 74 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,56,1801] |
[a1,a2,a3,a4,a6] |
Generators |
[7:47:1] |
Generators of the group modulo torsion |
j |
19400056703/1376675776 |
j-invariant |
L |
7.4090651988087 |
L(r)(E,1)/r! |
Ω |
1.1607173868076 |
Real period |
R |
1.0638629298021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59024ba1 66402a1 51646ba1 125426u1 |
Quadratic twists by: -4 -3 -7 17 |