Atkin-Lehner |
2+ 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910s |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
13295088292500 = 22 · 36 · 54 · 72 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7452,-177876] |
[a1,a2,a3,a4,a6] |
Generators |
[378:-7344:1] [-62:256:1] |
Generators of the group modulo torsion |
j |
934194332888089/271328332500 |
j-invariant |
L |
7.0172921526681 |
L(r)(E,1)/r! |
Ω |
0.5252531822907 |
Real period |
R |
0.27832974924272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77910v1 |
Quadratic twists by: -7 |