Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948t |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
572841451728 = 24 · 34 · 76 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61217,-5809362] |
[a1,a2,a3,a4,a6] |
Generators |
[150675280:-642651561:512000] |
Generators of the group modulo torsion |
j |
13478411517952/304317 |
j-invariant |
L |
7.483681035461 |
L(r)(E,1)/r! |
Ω |
0.30351596580386 |
Real period |
R |
12.328315456493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998535975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652d1 |
Quadratic twists by: -7 |