Atkin-Lehner |
2+ 3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954j |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-617899123167312 = -1 · 24 · 3 · 76 · 17 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -5 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,18595,699021] |
[a1,a2,a3,a4,a6] |
Generators |
[22:1047:1] [90:1719:1] |
Generators of the group modulo torsion |
j |
6043486088375/5252055888 |
j-invariant |
L |
7.5527712367652 |
L(r)(E,1)/r! |
Ω |
0.33418640032239 |
Real period |
R |
1.1300237276162 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346e1 |
Quadratic twists by: -7 |